Finding the Third Proportional to 105,532 and 224,906

Step by Step Solution

1. Step 1: Write the proportion equation
   105,532 : 224,906 = 224,906 : x
2. Step 2: Convert to fraction form
   105,532/224,906 = 224,906/x
3. Step 3: Cross multiply
   105,532x = 224,906 × 224,906
4. Step 4: Simplify right side
   105,532x = 50,582,708,836
5. Step 5: Solve for x
   x = 50,582,708,836/105,532
6. Step 6: Final answer
   x = 479,311.57