Finding the Third Proportional to 144,427 and 224,510

Step by Step Solution

1. Step 1: Write the proportion equation
   144,427 : 224,510 = 224,510 : x
2. Step 2: Convert to fraction form
   144,427/224,510 = 224,510/x
3. Step 3: Cross multiply
   144,427x = 224,510 × 224,510
4. Step 4: Simplify right side
   144,427x = 50,404,740,100
5. Step 5: Solve for x
   x = 50,404,740,100/144,427
6. Step 6: Final answer
   x = 348,998.04