Finding the Third Proportional to 80,727 and 175,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,727 : 175,985.50 = 175,985.50 : x
2. Step 2: Convert to fraction form
   80,727/175,985.50 = 175,985.50/x
3. Step 3: Cross multiply
   80,727x = 175,985.50 × 175,985.50
4. Step 4: Simplify right side
   80,727x = 30,970,896,210.25
5. Step 5: Solve for x
   x = 30,970,896,210.25/80,727
6. Step 6: Final answer
   x = 383,649.79