Finding the Third Proportional to 77,938.50 and 125,514

Step by Step Solution

1. Step 1: Write the proportion equation
   77,938.50 : 125,514 = 125,514 : x
2. Step 2: Convert to fraction form
   77,938.50/125,514 = 125,514/x
3. Step 3: Cross multiply
   77,938.50x = 125,514 × 125,514
4. Step 4: Simplify right side
   77,938.50x = 15,753,764,196
5. Step 5: Solve for x
   x = 15,753,764,196/77,938.50
6. Step 6: Final answer
   x = 202,130.71