Finding the Third Proportional to 153,290 and 205,995

Step by Step Solution

1. Step 1: Write the proportion equation
   153,290 : 205,995 = 205,995 : x
2. Step 2: Convert to fraction form
   153,290/205,995 = 205,995/x
3. Step 3: Cross multiply
   153,290x = 205,995 × 205,995
4. Step 4: Simplify right side
   153,290x = 42,433,940,025
5. Step 5: Solve for x
   x = 42,433,940,025/153,290
6. Step 6: Final answer
   x = 276,821.32