Finding the Third Proportional to 51,822 and 113,521

Step by Step Solution

1. Step 1: Write the proportion equation
   51,822 : 113,521 = 113,521 : x
2. Step 2: Convert to fraction form
   51,822/113,521 = 113,521/x
3. Step 3: Cross multiply
   51,822x = 113,521 × 113,521
4. Step 4: Simplify right side
   51,822x = 12,887,017,441
5. Step 5: Solve for x
   x = 12,887,017,441/51,822
6. Step 6: Final answer
   x = 248,678.50