Finding the Third Proportional to 153,779 and 206,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,779 : 206,883.50 = 206,883.50 : x
2. Step 2: Convert to fraction form
   153,779/206,883.50 = 206,883.50/x
3. Step 3: Cross multiply
   153,779x = 206,883.50 × 206,883.50
4. Step 4: Simplify right side
   153,779x = 42,800,782,572.25
5. Step 5: Solve for x
   x = 42,800,782,572.25/153,779
6. Step 6: Final answer
   x = 278,326.58