Finding the Third Proportional to 174,131.50 and 377,245.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174,131.50 : 377,245.25 = 377,245.25 : x
2. Step 2: Convert to fraction form
   174,131.50/377,245.25 = 377,245.25/x
3. Step 3: Cross multiply
   174,131.50x = 377,245.25 × 377,245.25
4. Step 4: Simplify right side
   174,131.50x = 142,313,978,647.56
5. Step 5: Solve for x
   x = 142,313,978,647.56/174,131.50
6. Step 6: Final answer
   x = 817,278.77