Finding the Third Proportional to 118,171.50 and 172,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,171.50 : 172,180.50 = 172,180.50 : x
2. Step 2: Convert to fraction form
   118,171.50/172,180.50 = 172,180.50/x
3. Step 3: Cross multiply
   118,171.50x = 172,180.50 × 172,180.50
4. Step 4: Simplify right side
   118,171.50x = 29,646,124,580.25
5. Step 5: Solve for x
   x = 29,646,124,580.25/118,171.50
6. Step 6: Final answer
   x = 250,873.73