Finding the Third Proportional to 85,713 and 131,484

Step by Step Solution

1. Step 1: Write the proportion equation
   85,713 : 131,484 = 131,484 : x
2. Step 2: Convert to fraction form
   85,713/131,484 = 131,484/x
3. Step 3: Cross multiply
   85,713x = 131,484 × 131,484
4. Step 4: Simplify right side
   85,713x = 17,288,042,256
5. Step 5: Solve for x
   x = 17,288,042,256/85,713
6. Step 6: Final answer
   x = 201,696.85