Finding the Third Proportional to 42,920 and 89,762

Step by Step Solution

1. Step 1: Write the proportion equation
   42,920 : 89,762 = 89,762 : x
2. Step 2: Convert to fraction form
   42,920/89,762 = 89,762/x
3. Step 3: Cross multiply
   42,920x = 89,762 × 89,762
4. Step 4: Simplify right side
   42,920x = 8,057,216,644
5. Step 5: Solve for x
   x = 8,057,216,644/42,920
6. Step 6: Final answer
   x = 187,726.39