Finding the Third Proportional to 80,680 and 175,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,680 : 175,352.50 = 175,352.50 : x
2. Step 2: Convert to fraction form
   80,680/175,352.50 = 175,352.50/x
3. Step 3: Cross multiply
   80,680x = 175,352.50 × 175,352.50
4. Step 4: Simplify right side
   80,680x = 30,748,499,256.25
5. Step 5: Solve for x
   x = 30,748,499,256.25/80,680
6. Step 6: Final answer
   x = 381,116.75