Finding the Third Proportional to 122,209.50 and 181,518

Step by Step Solution

1. Step 1: Write the proportion equation
   122,209.50 : 181,518 = 181,518 : x
2. Step 2: Convert to fraction form
   122,209.50/181,518 = 181,518/x
3. Step 3: Cross multiply
   122,209.50x = 181,518 × 181,518
4. Step 4: Simplify right side
   122,209.50x = 32,948,784,324
5. Step 5: Solve for x
   x = 32,948,784,324/122,209.50
6. Step 6: Final answer
   x = 269,609.03