Finding the Third Proportional to 80,113.50 and 185,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,113.50 : 185,457.50 = 185,457.50 : x
2. Step 2: Convert to fraction form
   80,113.50/185,457.50 = 185,457.50/x
3. Step 3: Cross multiply
   80,113.50x = 185,457.50 × 185,457.50
4. Step 4: Simplify right side
   80,113.50x = 34,394,484,306.25
5. Step 5: Solve for x
   x = 34,394,484,306.25/80,113.50
6. Step 6: Final answer
   x = 429,321.95