Finding the Third Proportional to 47,951 and 105,423

Step by Step Solution

1. Step 1: Write the proportion equation
   47,951 : 105,423 = 105,423 : x
2. Step 2: Convert to fraction form
   47,951/105,423 = 105,423/x
3. Step 3: Cross multiply
   47,951x = 105,423 × 105,423
4. Step 4: Simplify right side
   47,951x = 11,114,008,929
5. Step 5: Solve for x
   x = 11,114,008,929/47,951
6. Step 6: Final answer
   x = 231,778.46