Finding the Third Proportional to 86,688 and 113,238

Step by Step Solution

1. Step 1: Write the proportion equation
   86,688 : 113,238 = 113,238 : x
2. Step 2: Convert to fraction form
   86,688/113,238 = 113,238/x
3. Step 3: Cross multiply
   86,688x = 113,238 × 113,238
4. Step 4: Simplify right side
   86,688x = 12,822,844,644
5. Step 5: Solve for x
   x = 12,822,844,644/86,688
6. Step 6: Final answer
   x = 147,919.49