Finding the Third Proportional to 59,216 and 89,457

Step by Step Solution

1. Step 1: Write the proportion equation
   59,216 : 89,457 = 89,457 : x
2. Step 2: Convert to fraction form
   59,216/89,457 = 89,457/x
3. Step 3: Cross multiply
   59,216x = 89,457 × 89,457
4. Step 4: Simplify right side
   59,216x = 8,002,554,849
5. Step 5: Solve for x
   x = 8,002,554,849/59,216
6. Step 6: Final answer
   x = 135,141.77