Finding the Third Proportional to 57,398 and 89,500

Step by Step Solution

1. Step 1: Write the proportion equation
   57,398 : 89,500 = 89,500 : x
2. Step 2: Convert to fraction form
   57,398/89,500 = 89,500/x
3. Step 3: Cross multiply
   57,398x = 89,500 × 89,500
4. Step 4: Simplify right side
   57,398x = 8,010,250,000
5. Step 5: Solve for x
   x = 8,010,250,000/57,398
6. Step 6: Final answer
   x = 139,556.26