Finding the Third Proportional to 123,180.50 and 171,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,180.50 : 171,621.50 = 171,621.50 : x
2. Step 2: Convert to fraction form
   123,180.50/171,621.50 = 171,621.50/x
3. Step 3: Cross multiply
   123,180.50x = 171,621.50 × 171,621.50
4. Step 4: Simplify right side
   123,180.50x = 29,453,939,262.25
5. Step 5: Solve for x
   x = 29,453,939,262.25/123,180.50
6. Step 6: Final answer
   x = 239,112.03