Finding the Third Proportional to 309,622.50 and 512,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,622.50 : 512,434.50 = 512,434.50 : x
2. Step 2: Convert to fraction form
   309,622.50/512,434.50 = 512,434.50/x
3. Step 3: Cross multiply
   309,622.50x = 512,434.50 × 512,434.50
4. Step 4: Simplify right side
   309,622.50x = 262,589,116,790.25
5. Step 5: Solve for x
   x = 262,589,116,790.25/309,622.50
6. Step 6: Final answer
   x = 848,094.43