Finding the Third Proportional to 142,674 and 213,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,674 : 213,565.50 = 213,565.50 : x
2. Step 2: Convert to fraction form
   142,674/213,565.50 = 213,565.50/x
3. Step 3: Cross multiply
   142,674x = 213,565.50 × 213,565.50
4. Step 4: Simplify right side
   142,674x = 45,610,222,790.25
5. Step 5: Solve for x
   x = 45,610,222,790.25/142,674
6. Step 6: Final answer
   x = 319,681.39