Finding the Third Proportional to 92,227.50 and 138,342

Step by Step Solution

1. Step 1: Write the proportion equation
   92,227.50 : 138,342 = 138,342 : x
2. Step 2: Convert to fraction form
   92,227.50/138,342 = 138,342/x
3. Step 3: Cross multiply
   92,227.50x = 138,342 × 138,342
4. Step 4: Simplify right side
   92,227.50x = 19,138,508,964
5. Step 5: Solve for x
   x = 19,138,508,964/92,227.50
6. Step 6: Final answer
   x = 207,514.13