Finding the Third Proportional to 354,737 and 521,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,737 : 521,731.50 = 521,731.50 : x
2. Step 2: Convert to fraction form
   354,737/521,731.50 = 521,731.50/x
3. Step 3: Cross multiply
   354,737x = 521,731.50 × 521,731.50
4. Step 4: Simplify right side
   354,737x = 272,203,758,092.25
5. Step 5: Solve for x
   x = 272,203,758,092.25/354,737
6. Step 6: Final answer
   x = 767,339.63