Finding the Third Proportional to 151,233.50 and 205,514

Step by Step Solution

1. Step 1: Write the proportion equation
   151,233.50 : 205,514 = 205,514 : x
2. Step 2: Convert to fraction form
   151,233.50/205,514 = 205,514/x
3. Step 3: Cross multiply
   151,233.50x = 205,514 × 205,514
4. Step 4: Simplify right side
   151,233.50x = 42,236,004,196
5. Step 5: Solve for x
   x = 42,236,004,196/151,233.50
6. Step 6: Final answer
   x = 279,276.78