Finding the Third Proportional to 57,608 and 89,409

Step by Step Solution

1. Step 1: Write the proportion equation
   57,608 : 89,409 = 89,409 : x
2. Step 2: Convert to fraction form
   57,608/89,409 = 89,409/x
3. Step 3: Cross multiply
   57,608x = 89,409 × 89,409
4. Step 4: Simplify right side
   57,608x = 7,993,969,281
5. Step 5: Solve for x
   x = 7,993,969,281/57,608
6. Step 6: Final answer
   x = 138,764.92