Finding the Third Proportional to 42,156 and 89,496

Step by Step Solution

1. Step 1: Write the proportion equation
   42,156 : 89,496 = 89,496 : x
2. Step 2: Convert to fraction form
   42,156/89,496 = 89,496/x
3. Step 3: Cross multiply
   42,156x = 89,496 × 89,496
4. Step 4: Simplify right side
   42,156x = 8,009,534,016
5. Step 5: Solve for x
   x = 8,009,534,016/42,156
6. Step 6: Final answer
   x = 189,997.49