Finding the Third Proportional to 121,522.50 and 181,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,522.50 : 181,876.50 = 181,876.50 : x
2. Step 2: Convert to fraction form
   121,522.50/181,876.50 = 181,876.50/x
3. Step 3: Cross multiply
   121,522.50x = 181,876.50 × 181,876.50
4. Step 4: Simplify right side
   121,522.50x = 33,079,061,252.25
5. Step 5: Solve for x
   x = 33,079,061,252.25/121,522.50
6. Step 6: Final answer
   x = 272,205.24