Finding the Third Proportional to 224,221 and 333,139

Step by Step Solution

1. Step 1: Write the proportion equation
   224,221 : 333,139 = 333,139 : x
2. Step 2: Convert to fraction form
   224,221/333,139 = 333,139/x
3. Step 3: Cross multiply
   224,221x = 333,139 × 333,139
4. Step 4: Simplify right side
   224,221x = 110,981,593,321
5. Step 5: Solve for x
   x = 110,981,593,321/224,221
6. Step 6: Final answer
   x = 494,965.21