Finding the Third Proportional to 172,825.50 and 377,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,825.50 : 377,308.50 = 377,308.50 : x
2. Step 2: Convert to fraction form
   172,825.50/377,308.50 = 377,308.50/x
3. Step 3: Cross multiply
   172,825.50x = 377,308.50 × 377,308.50
4. Step 4: Simplify right side
   172,825.50x = 142,361,704,172.25
5. Step 5: Solve for x
   x = 142,361,704,172.25/172,825.50
6. Step 6: Final answer
   x = 823,730.90