Finding the Third Proportional to 42,662 and 89,766

Step by Step Solution

1. Step 1: Write the proportion equation
   42,662 : 89,766 = 89,766 : x
2. Step 2: Convert to fraction form
   42,662/89,766 = 89,766/x
3. Step 3: Cross multiply
   42,662x = 89,766 × 89,766
4. Step 4: Simplify right side
   42,662x = 8,057,934,756
5. Step 5: Solve for x
   x = 8,057,934,756/42,662
6. Step 6: Final answer
   x = 188,878.50