Finding the Third Proportional to 142,565.91 and 199,315.69

Step by Step Solution

1. Step 1: Write the proportion equation
   142,565.91 : 199,315.69 = 199,315.69 : x
2. Step 2: Convert to fraction form
   142,565.91/199,315.69 = 199,315.69/x
3. Step 3: Cross multiply
   142,565.91x = 199,315.69 × 199,315.69
4. Step 4: Simplify right side
   142,565.91x = 39,726,743,283.60
5. Step 5: Solve for x
   x = 39,726,743,283.60/142,565.91
6. Step 6: Final answer
   x = 278,655.29