Finding the Third Proportional to 59,646 and 89,466

Step by Step Solution

1. Step 1: Write the proportion equation
   59,646 : 89,466 = 89,466 : x
2. Step 2: Convert to fraction form
   59,646/89,466 = 89,466/x
3. Step 3: Cross multiply
   59,646x = 89,466 × 89,466
4. Step 4: Simplify right side
   59,646x = 8,004,165,156
5. Step 5: Solve for x
   x = 8,004,165,156/59,646
6. Step 6: Final answer
   x = 134,194.50