Finding the Third Proportional to 120,177 and 179,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,177 : 179,833.50 = 179,833.50 : x
2. Step 2: Convert to fraction form
   120,177/179,833.50 = 179,833.50/x
3. Step 3: Cross multiply
   120,177x = 179,833.50 × 179,833.50
4. Step 4: Simplify right side
   120,177x = 32,340,087,722.25
5. Step 5: Solve for x
   x = 32,340,087,722.25/120,177
6. Step 6: Final answer
   x = 269,103.80