Finding the Third Proportional to 172,111.50 and 377,466.75

Step by Step Solution

1. Step 1: Write the proportion equation
   172,111.50 : 377,466.75 = 377,466.75 : x
2. Step 2: Convert to fraction form
   172,111.50/377,466.75 = 377,466.75/x
3. Step 3: Cross multiply
   172,111.50x = 377,466.75 × 377,466.75
4. Step 4: Simplify right side
   172,111.50x = 142,481,147,355.56
5. Step 5: Solve for x
   x = 142,481,147,355.56/172,111.50
6. Step 6: Final answer
   x = 827,842.11