Finding the Third Proportional to 152,262 and 205,398

Step by Step Solution

1. Step 1: Write the proportion equation
   152,262 : 205,398 = 205,398 : x
2. Step 2: Convert to fraction form
   152,262/205,398 = 205,398/x
3. Step 3: Cross multiply
   152,262x = 205,398 × 205,398
4. Step 4: Simplify right side
   152,262x = 42,188,338,404
5. Step 5: Solve for x
   x = 42,188,338,404/152,262
6. Step 6: Final answer
   x = 277,077.26