Finding the Third Proportional to 42,605 and 89,617

Step by Step Solution

1. Step 1: Write the proportion equation
   42,605 : 89,617 = 89,617 : x
2. Step 2: Convert to fraction form
   42,605/89,617 = 89,617/x
3. Step 3: Cross multiply
   42,605x = 89,617 × 89,617
4. Step 4: Simplify right side
   42,605x = 8,031,206,689
5. Step 5: Solve for x
   x = 8,031,206,689/42,605
6. Step 6: Final answer
   x = 188,503.85