Finding the Third Proportional to 180,589.50 and 280,014

Step by Step Solution

1. Step 1: Write the proportion equation
   180,589.50 : 280,014 = 280,014 : x
2. Step 2: Convert to fraction form
   180,589.50/280,014 = 280,014/x
3. Step 3: Cross multiply
   180,589.50x = 280,014 × 280,014
4. Step 4: Simplify right side
   180,589.50x = 78,407,840,196
5. Step 5: Solve for x
   x = 78,407,840,196/180,589.50
6. Step 6: Final answer
   x = 434,177.18