Finding the Third Proportional to 105,102 and 224,964

Step by Step Solution

1. Step 1: Write the proportion equation
   105,102 : 224,964 = 224,964 : x
2. Step 2: Convert to fraction form
   105,102/224,964 = 224,964/x
3. Step 3: Cross multiply
   105,102x = 224,964 × 224,964
4. Step 4: Simplify right side
   105,102x = 50,608,801,296
5. Step 5: Solve for x
   x = 50,608,801,296/105,102
6. Step 6: Final answer
   x = 481,520.82