Finding the Third Proportional to 80,647.31 and 175,441.78

Step by Step Solution

1. Step 1: Write the proportion equation
   80,647.31 : 175,441.78 = 175,441.78 : x
2. Step 2: Convert to fraction form
   80,647.31/175,441.78 = 175,441.78/x
3. Step 3: Cross multiply
   80,647.31x = 175,441.78 × 175,441.78
4. Step 4: Simplify right side
   80,647.31x = 30,779,818,608.17
5. Step 5: Solve for x
   x = 30,779,818,608.17/80,647.31
6. Step 6: Final answer
   x = 381,659.57