Finding the Third Proportional to 150,715 and 205,250

Step by Step Solution

1. Step 1: Write the proportion equation
   150,715 : 205,250 = 205,250 : x
2. Step 2: Convert to fraction form
   150,715/205,250 = 205,250/x
3. Step 3: Cross multiply
   150,715x = 205,250 × 205,250
4. Step 4: Simplify right side
   150,715x = 42,127,562,500
5. Step 5: Solve for x
   x = 42,127,562,500/150,715
6. Step 6: Final answer
   x = 279,518.05