Finding the Third Proportional to 172,480.50 and 377,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,480.50 : 377,023.50 = 377,023.50 : x
2. Step 2: Convert to fraction form
   172,480.50/377,023.50 = 377,023.50/x
3. Step 3: Cross multiply
   172,480.50x = 377,023.50 × 377,023.50
4. Step 4: Simplify right side
   172,480.50x = 142,146,719,552.25
5. Step 5: Solve for x
   x = 142,146,719,552.25/172,480.50
6. Step 6: Final answer
   x = 824,132.12