Finding the Third Proportional to 344,491.50 and 506,892

Step by Step Solution

1. Step 1: Write the proportion equation
   344,491.50 : 506,892 = 506,892 : x
2. Step 2: Convert to fraction form
   344,491.50/506,892 = 506,892/x
3. Step 3: Cross multiply
   344,491.50x = 506,892 × 506,892
4. Step 4: Simplify right side
   344,491.50x = 256,939,499,664
5. Step 5: Solve for x
   x = 256,939,499,664/344,491.50
6. Step 6: Final answer
   x = 745,851.49