Finding the Third Proportional to 122,665.50 and 178,625.25

Step by Step Solution

1. Step 1: Write the proportion equation
   122,665.50 : 178,625.25 = 178,625.25 : x
2. Step 2: Convert to fraction form
   122,665.50/178,625.25 = 178,625.25/x
3. Step 3: Cross multiply
   122,665.50x = 178,625.25 × 178,625.25
4. Step 4: Simplify right side
   122,665.50x = 31,906,979,937.56
5. Step 5: Solve for x
   x = 31,906,979,937.56/122,665.50
6. Step 6: Final answer
   x = 260,113.72