Finding the Third Proportional to 122,647.50 and 179,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,647.50 : 179,932.50 = 179,932.50 : x
2. Step 2: Convert to fraction form
   122,647.50/179,932.50 = 179,932.50/x
3. Step 3: Cross multiply
   122,647.50x = 179,932.50 × 179,932.50
4. Step 4: Simplify right side
   122,647.50x = 32,375,704,556.25
5. Step 5: Solve for x
   x = 32,375,704,556.25/122,647.50
6. Step 6: Final answer
   x = 263,973.62