Finding the Third Proportional to 50,340 and 105,576

Step by Step Solution

1. Step 1: Write the proportion equation
   50,340 : 105,576 = 105,576 : x
2. Step 2: Convert to fraction form
   50,340/105,576 = 105,576/x
3. Step 3: Cross multiply
   50,340x = 105,576 × 105,576
4. Step 4: Simplify right side
   50,340x = 11,146,291,776
5. Step 5: Solve for x
   x = 11,146,291,776/50,340
6. Step 6: Final answer
   x = 221,420.18