Finding the Third Proportional to 59,128 and 89,306

Step by Step Solution

1. Step 1: Write the proportion equation
   59,128 : 89,306 = 89,306 : x
2. Step 2: Convert to fraction form
   59,128/89,306 = 89,306/x
3. Step 3: Cross multiply
   59,128x = 89,306 × 89,306
4. Step 4: Simplify right side
   59,128x = 7,975,561,636
5. Step 5: Solve for x
   x = 7,975,561,636/59,128
6. Step 6: Final answer
   x = 134,886.38