Finding the Third Proportional to 122,665.50 and 179,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,665.50 : 179,959.50 = 179,959.50 : x
2. Step 2: Convert to fraction form
   122,665.50/179,959.50 = 179,959.50/x
3. Step 3: Cross multiply
   122,665.50x = 179,959.50 × 179,959.50
4. Step 4: Simplify right side
   122,665.50x = 32,385,421,640.25
5. Step 5: Solve for x
   x = 32,385,421,640.25/122,665.50
6. Step 6: Final answer
   x = 264,014.10