Finding the Third Proportional to 42,444 and 89,534

Step by Step Solution

1. Step 1: Write the proportion equation
   42,444 : 89,534 = 89,534 : x
2. Step 2: Convert to fraction form
   42,444/89,534 = 89,534/x
3. Step 3: Cross multiply
   42,444x = 89,534 × 89,534
4. Step 4: Simplify right side
   42,444x = 8,016,337,156
5. Step 5: Solve for x
   x = 8,016,337,156/42,444
6. Step 6: Final answer
   x = 188,868.56