Finding the Third Proportional to 138,432 and 296,057.25

Step by Step Solution

1. Step 1: Write the proportion equation
   138,432 : 296,057.25 = 296,057.25 : x
2. Step 2: Convert to fraction form
   138,432/296,057.25 = 296,057.25/x
3. Step 3: Cross multiply
   138,432x = 296,057.25 × 296,057.25
4. Step 4: Simplify right side
   138,432x = 87,649,895,277.56
5. Step 5: Solve for x
   x = 87,649,895,277.56/138,432
6. Step 6: Final answer
   x = 633,162.10