Finding the Third Proportional to 147,659 and 221,443

Step by Step Solution

1. Step 1: Write the proportion equation
   147,659 : 221,443 = 221,443 : x
2. Step 2: Convert to fraction form
   147,659/221,443 = 221,443/x
3. Step 3: Cross multiply
   147,659x = 221,443 × 221,443
4. Step 4: Simplify right side
   147,659x = 49,037,002,249
5. Step 5: Solve for x
   x = 49,037,002,249/147,659
6. Step 6: Final answer
   x = 332,096.26