Finding the Third Proportional to 57,148.50 and 122,802

Step by Step Solution

1. Step 1: Write the proportion equation
   57,148.50 : 122,802 = 122,802 : x
2. Step 2: Convert to fraction form
   57,148.50/122,802 = 122,802/x
3. Step 3: Cross multiply
   57,148.50x = 122,802 × 122,802
4. Step 4: Simplify right side
   57,148.50x = 15,080,331,204
5. Step 5: Solve for x
   x = 15,080,331,204/57,148.50
6. Step 6: Final answer
   x = 263,879.74