Finding the Third Proportional to 85,791 and 131,238

Step by Step Solution

1. Step 1: Write the proportion equation
   85,791 : 131,238 = 131,238 : x
2. Step 2: Convert to fraction form
   85,791/131,238 = 131,238/x
3. Step 3: Cross multiply
   85,791x = 131,238 × 131,238
4. Step 4: Simplify right side
   85,791x = 17,223,412,644
5. Step 5: Solve for x
   x = 17,223,412,644/85,791
6. Step 6: Final answer
   x = 200,760.13