Finding the Third Proportional to 86,950 and 116,466

Step by Step Solution

1. Step 1: Write the proportion equation
   86,950 : 116,466 = 116,466 : x
2. Step 2: Convert to fraction form
   86,950/116,466 = 116,466/x
3. Step 3: Cross multiply
   86,950x = 116,466 × 116,466
4. Step 4: Simplify right side
   86,950x = 13,564,329,156
5. Step 5: Solve for x
   x = 13,564,329,156/86,950
6. Step 6: Final answer
   x = 156,001.49