Finding the Third Proportional to 80,681 and 175,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,681 : 175,354.50 = 175,354.50 : x
2. Step 2: Convert to fraction form
   80,681/175,354.50 = 175,354.50/x
3. Step 3: Cross multiply
   80,681x = 175,354.50 × 175,354.50
4. Step 4: Simplify right side
   80,681x = 30,749,200,670.25
5. Step 5: Solve for x
   x = 30,749,200,670.25/80,681
6. Step 6: Final answer
   x = 381,120.72