Finding the Third Proportional to 42,446 and 89,538

Step by Step Solution

1. Step 1: Write the proportion equation
   42,446 : 89,538 = 89,538 : x
2. Step 2: Convert to fraction form
   42,446/89,538 = 89,538/x
3. Step 3: Cross multiply
   42,446x = 89,538 × 89,538
4. Step 4: Simplify right side
   42,446x = 8,017,053,444
5. Step 5: Solve for x
   x = 8,017,053,444/42,446
6. Step 6: Final answer
   x = 188,876.54