Finding the Third Proportional to 120,105 and 179,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,105 : 179,725.50 = 179,725.50 : x
2. Step 2: Convert to fraction form
   120,105/179,725.50 = 179,725.50/x
3. Step 3: Cross multiply
   120,105x = 179,725.50 × 179,725.50
4. Step 4: Simplify right side
   120,105x = 32,301,255,350.25
5. Step 5: Solve for x
   x = 32,301,255,350.25/120,105
6. Step 6: Final answer
   x = 268,941.80