Finding the Third Proportional to 59,092 and 89,342

Step by Step Solution

1. Step 1: Write the proportion equation
   59,092 : 89,342 = 89,342 : x
2. Step 2: Convert to fraction form
   59,092/89,342 = 89,342/x
3. Step 3: Cross multiply
   59,092x = 89,342 × 89,342
4. Step 4: Simplify right side
   59,092x = 7,981,992,964
5. Step 5: Solve for x
   x = 7,981,992,964/59,092
6. Step 6: Final answer
   x = 135,077.39