Finding the Third Proportional to 120,658.50 and 280,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,658.50 : 280,525.50 = 280,525.50 : x
2. Step 2: Convert to fraction form
   120,658.50/280,525.50 = 280,525.50/x
3. Step 3: Cross multiply
   120,658.50x = 280,525.50 × 280,525.50
4. Step 4: Simplify right side
   120,658.50x = 78,694,556,150.25
5. Step 5: Solve for x
   x = 78,694,556,150.25/120,658.50
6. Step 6: Final answer
   x = 652,208.97