Finding the Third Proportional to 87,096 and 138,096

Step by Step Solution

1. Step 1: Write the proportion equation
   87,096 : 138,096 = 138,096 : x
2. Step 2: Convert to fraction form
   87,096/138,096 = 138,096/x
3. Step 3: Cross multiply
   87,096x = 138,096 × 138,096
4. Step 4: Simplify right side
   87,096x = 19,070,505,216
5. Step 5: Solve for x
   x = 19,070,505,216/87,096
6. Step 6: Final answer
   x = 218,959.60