Finding the Third Proportional to 180,500 and 280,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,500 : 280,622.50 = 280,622.50 : x
2. Step 2: Convert to fraction form
   180,500/280,622.50 = 280,622.50/x
3. Step 3: Cross multiply
   180,500x = 280,622.50 × 280,622.50
4. Step 4: Simplify right side
   180,500x = 78,748,987,506.25
5. Step 5: Solve for x
   x = 78,748,987,506.25/180,500
6. Step 6: Final answer
   x = 436,282.48