Finding the Third Proportional to 140,649 and 292,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,649 : 292,957.50 = 292,957.50 : x
2. Step 2: Convert to fraction form
   140,649/292,957.50 = 292,957.50/x
3. Step 3: Cross multiply
   140,649x = 292,957.50 × 292,957.50
4. Step 4: Simplify right side
   140,649x = 85,824,096,806.25
5. Step 5: Solve for x
   x = 85,824,096,806.25/140,649
6. Step 6: Final answer
   x = 610,200.55