Finding the Third Proportional to 105,976 and 224,584

Step by Step Solution

1. Step 1: Write the proportion equation
   105,976 : 224,584 = 224,584 : x
2. Step 2: Convert to fraction form
   105,976/224,584 = 224,584/x
3. Step 3: Cross multiply
   105,976x = 224,584 × 224,584
4. Step 4: Simplify right side
   105,976x = 50,437,973,056
5. Step 5: Solve for x
   x = 50,437,973,056/105,976
6. Step 6: Final answer
   x = 475,937.69