Finding the Third Proportional to 119,779 and 179,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,779 : 179,653.50 = 179,653.50 : x
2. Step 2: Convert to fraction form
   119,779/179,653.50 = 179,653.50/x
3. Step 3: Cross multiply
   119,779x = 179,653.50 × 179,653.50
4. Step 4: Simplify right side
   119,779x = 32,275,380,062.25
5. Step 5: Solve for x
   x = 32,275,380,062.25/119,779
6. Step 6: Final answer
   x = 269,457.75