Finding the Third Proportional to 59,146 and 89,332

Step by Step Solution

1. Step 1: Write the proportion equation
   59,146 : 89,332 = 89,332 : x
2. Step 2: Convert to fraction form
   59,146/89,332 = 89,332/x
3. Step 3: Cross multiply
   59,146x = 89,332 × 89,332
4. Step 4: Simplify right side
   59,146x = 7,980,206,224
5. Step 5: Solve for x
   x = 7,980,206,224/59,146
6. Step 6: Final answer
   x = 134,923.85