Finding the Third Proportional to 105,580 and 224,114

Step by Step Solution

1. Step 1: Write the proportion equation
   105,580 : 224,114 = 224,114 : x
2. Step 2: Convert to fraction form
   105,580/224,114 = 224,114/x
3. Step 3: Cross multiply
   105,580x = 224,114 × 224,114
4. Step 4: Simplify right side
   105,580x = 50,227,084,996
5. Step 5: Solve for x
   x = 50,227,084,996/105,580
6. Step 6: Final answer
   x = 475,725.37