Finding the Third Proportional to 142,472 and 221,484

Step by Step Solution

1. Step 1: Write the proportion equation
   142,472 : 221,484 = 221,484 : x
2. Step 2: Convert to fraction form
   142,472/221,484 = 221,484/x
3. Step 3: Cross multiply
   142,472x = 221,484 × 221,484
4. Step 4: Simplify right side
   142,472x = 49,055,162,256
5. Step 5: Solve for x
   x = 49,055,162,256/142,472
6. Step 6: Final answer
   x = 344,314.41