Finding the Third Proportional to 142,167 and 213,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,167 : 213,827.25 = 213,827.25 : x
2. Step 2: Convert to fraction form
   142,167/213,827.25 = 213,827.25/x
3. Step 3: Cross multiply
   142,167x = 213,827.25 × 213,827.25
4. Step 4: Simplify right side
   142,167x = 45,722,092,842.56
5. Step 5: Solve for x
   x = 45,722,092,842.56/142,167
6. Step 6: Final answer
   x = 321,608.34