Finding the Third Proportional to 142,914 and 221,514

Step by Step Solution

1. Step 1: Write the proportion equation
   142,914 : 221,514 = 221,514 : x
2. Step 2: Convert to fraction form
   142,914/221,514 = 221,514/x
3. Step 3: Cross multiply
   142,914x = 221,514 × 221,514
4. Step 4: Simplify right side
   142,914x = 49,068,452,196
5. Step 5: Solve for x
   x = 49,068,452,196/142,914
6. Step 6: Final answer
   x = 343,342.52