Finding the Third Proportional to 80,278.88 and 174,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,278.88 : 174,856.50 = 174,856.50 : x
2. Step 2: Convert to fraction form
   80,278.88/174,856.50 = 174,856.50/x
3. Step 3: Cross multiply
   80,278.88x = 174,856.50 × 174,856.50
4. Step 4: Simplify right side
   80,278.88x = 30,574,795,592.25
5. Step 5: Solve for x
   x = 30,574,795,592.25/80,278.88
6. Step 6: Final answer
   x = 380,857.30