Finding the Third Proportional to 150,705 and 205,233

Step by Step Solution

1. Step 1: Write the proportion equation
   150,705 : 205,233 = 205,233 : x
2. Step 2: Convert to fraction form
   150,705/205,233 = 205,233/x
3. Step 3: Cross multiply
   150,705x = 205,233 × 205,233
4. Step 4: Simplify right side
   150,705x = 42,120,584,289
5. Step 5: Solve for x
   x = 42,120,584,289/150,705
6. Step 6: Final answer
   x = 279,490.29