Finding the Third Proportional to 140,166 and 329,062.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,166 : 329,062.50 = 329,062.50 : x
2. Step 2: Convert to fraction form
   140,166/329,062.50 = 329,062.50/x
3. Step 3: Cross multiply
   140,166x = 329,062.50 × 329,062.50
4. Step 4: Simplify right side
   140,166x = 108,282,128,906.25
5. Step 5: Solve for x
   x = 108,282,128,906.25/140,166
6. Step 6: Final answer
   x = 772,527.78