Finding the Third Proportional to 59,668 and 91,782

Step by Step Solution

1. Step 1: Write the proportion equation
   59,668 : 91,782 = 91,782 : x
2. Step 2: Convert to fraction form
   59,668/91,782 = 91,782/x
3. Step 3: Cross multiply
   59,668x = 91,782 × 91,782
4. Step 4: Simplify right side
   59,668x = 8,423,935,524
5. Step 5: Solve for x
   x = 8,423,935,524/59,668
6. Step 6: Final answer
   x = 141,180.12