Finding the Third Proportional to 122,212.50 and 181,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,212.50 : 181,522.50 = 181,522.50 : x
2. Step 2: Convert to fraction form
   122,212.50/181,522.50 = 181,522.50/x
3. Step 3: Cross multiply
   122,212.50x = 181,522.50 × 181,522.50
4. Step 4: Simplify right side
   122,212.50x = 32,950,418,006.25
5. Step 5: Solve for x
   x = 32,950,418,006.25/122,212.50
6. Step 6: Final answer
   x = 269,615.78