Finding the Third Proportional to 375,101,423,387.50 and 506,099,891,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   375,101,423,387.50 : 506,099,891,916.50 = 506,099,891,916.50 : x
2. Step 2: Convert to fraction form
   375,101,423,387.50/506,099,891,916.50 = 506,099,891,916.50/x
3. Step 3: Cross multiply
   375,101,423,387.50x = 506,099,891,916.50 × 506,099,891,916.50
4. Step 4: Simplify right side
   375,101,423,387.50x = 256,137,100,597,892,967,563,264
5. Step 5: Solve for x
   x = 256,137,100,597,892,967,563,264/375,101,423,387.50
6. Step 6: Final answer
   x = 682,847,583,687.49