Finding the Third Proportional to 415,859.50 and 626,746

Step by Step Solution

1. Step 1: Write the proportion equation
   415,859.50 : 626,746 = 626,746 : x
2. Step 2: Convert to fraction form
   415,859.50/626,746 = 626,746/x
3. Step 3: Cross multiply
   415,859.50x = 626,746 × 626,746
4. Step 4: Simplify right side
   415,859.50x = 392,810,548,516
5. Step 5: Solve for x
   x = 392,810,548,516/415,859.50
6. Step 6: Final answer
   x = 944,575.15