Finding the Third Proportional to 59,419 and 89,140

Step by Step Solution

1. Step 1: Write the proportion equation
   59,419 : 89,140 = 89,140 : x
2. Step 2: Convert to fraction form
   59,419/89,140 = 89,140/x
3. Step 3: Cross multiply
   59,419x = 89,140 × 89,140
4. Step 4: Simplify right side
   59,419x = 7,945,939,600
5. Step 5: Solve for x
   x = 7,945,939,600/59,419
6. Step 6: Final answer
   x = 133,727.25