Finding the Third Proportional to 142,275 and 213,042

Step by Step Solution

1. Step 1: Write the proportion equation
   142,275 : 213,042 = 213,042 : x
2. Step 2: Convert to fraction form
   142,275/213,042 = 213,042/x
3. Step 3: Cross multiply
   142,275x = 213,042 × 213,042
4. Step 4: Simplify right side
   142,275x = 45,386,893,764
5. Step 5: Solve for x
   x = 45,386,893,764/142,275
6. Step 6: Final answer
   x = 319,008.21