Finding the Third Proportional to 120,150 and 255,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,150 : 255,829.50 = 255,829.50 : x
2. Step 2: Convert to fraction form
   120,150/255,829.50 = 255,829.50/x
3. Step 3: Cross multiply
   120,150x = 255,829.50 × 255,829.50
4. Step 4: Simplify right side
   120,150x = 65,448,733,070.25
5. Step 5: Solve for x
   x = 65,448,733,070.25/120,150
6. Step 6: Final answer
   x = 544,725.20