Finding the Third Proportional to 105,560 and 224,076

Step by Step Solution

1. Step 1: Write the proportion equation
   105,560 : 224,076 = 224,076 : x
2. Step 2: Convert to fraction form
   105,560/224,076 = 224,076/x
3. Step 3: Cross multiply
   105,560x = 224,076 × 224,076
4. Step 4: Simplify right side
   105,560x = 50,210,053,776
5. Step 5: Solve for x
   x = 50,210,053,776/105,560
6. Step 6: Final answer
   x = 475,654.17