Finding the Third Proportional to 42,092 and 89,374

Step by Step Solution

1. Step 1: Write the proportion equation
   42,092 : 89,374 = 89,374 : x
2. Step 2: Convert to fraction form
   42,092/89,374 = 89,374/x
3. Step 3: Cross multiply
   42,092x = 89,374 × 89,374
4. Step 4: Simplify right side
   42,092x = 7,987,711,876
5. Step 5: Solve for x
   x = 7,987,711,876/42,092
6. Step 6: Final answer
   x = 189,767.93