Finding the Third Proportional to 518,745 and 785,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   518,745 : 785,356.50 = 785,356.50 : x
2. Step 2: Convert to fraction form
   518,745/785,356.50 = 785,356.50/x
3. Step 3: Cross multiply
   518,745x = 785,356.50 × 785,356.50
4. Step 4: Simplify right side
   518,745x = 616,784,832,092.25
5. Step 5: Solve for x
   x = 616,784,832,092.25/518,745
6. Step 6: Final answer
   x = 1,188,994.27