Finding the Third Proportional to 85,827 and 131,294

Step by Step Solution

1. Step 1: Write the proportion equation
   85,827 : 131,294 = 131,294 : x
2. Step 2: Convert to fraction form
   85,827/131,294 = 131,294/x
3. Step 3: Cross multiply
   85,827x = 131,294 × 131,294
4. Step 4: Simplify right side
   85,827x = 17,238,114,436
5. Step 5: Solve for x
   x = 17,238,114,436/85,827
6. Step 6: Final answer
   x = 200,847.22