Finding the Third Proportional to 142,678 and 213,572

Step by Step Solution

1. Step 1: Write the proportion equation
   142,678 : 213,572 = 213,572 : x
2. Step 2: Convert to fraction form
   142,678/213,572 = 213,572/x
3. Step 3: Cross multiply
   142,678x = 213,572 × 213,572
4. Step 4: Simplify right side
   142,678x = 45,612,999,184
5. Step 5: Solve for x
   x = 45,612,999,184/142,678
6. Step 6: Final answer
   x = 319,691.89