Finding the Third Proportional to 89,188 and 138,540

Step by Step Solution

1. Step 1: Write the proportion equation
   89,188 : 138,540 = 138,540 : x
2. Step 2: Convert to fraction form
   89,188/138,540 = 138,540/x
3. Step 3: Cross multiply
   89,188x = 138,540 × 138,540
4. Step 4: Simplify right side
   89,188x = 19,193,331,600
5. Step 5: Solve for x
   x = 19,193,331,600/89,188
6. Step 6: Final answer
   x = 215,200.83