Finding the Third Proportional to 59,199 and 126,822

Step by Step Solution

1. Step 1: Write the proportion equation
   59,199 : 126,822 = 126,822 : x
2. Step 2: Convert to fraction form
   59,199/126,822 = 126,822/x
3. Step 3: Cross multiply
   59,199x = 126,822 × 126,822
4. Step 4: Simplify right side
   59,199x = 16,083,819,684
5. Step 5: Solve for x
   x = 16,083,819,684/59,199
6. Step 6: Final answer
   x = 271,690.73