Finding the Third Proportional to 55,398 and 120,822

Step by Step Solution

1. Step 1: Write the proportion equation
   55,398 : 120,822 = 120,822 : x
2. Step 2: Convert to fraction form
   55,398/120,822 = 120,822/x
3. Step 3: Cross multiply
   55,398x = 120,822 × 120,822
4. Step 4: Simplify right side
   55,398x = 14,597,955,684
5. Step 5: Solve for x
   x = 14,597,955,684/55,398
6. Step 6: Final answer
   x = 263,510.52