Finding the Third Proportional to 174,180 and 377,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,180 : 377,344.50 = 377,344.50 : x
2. Step 2: Convert to fraction form
   174,180/377,344.50 = 377,344.50/x
3. Step 3: Cross multiply
   174,180x = 377,344.50 × 377,344.50
4. Step 4: Simplify right side
   174,180x = 142,388,871,680.25
5. Step 5: Solve for x
   x = 142,388,871,680.25/174,180
6. Step 6: Final answer
   x = 817,481.18