Finding the Third Proportional to 49,934 and 105,502

Step by Step Solution

1. Step 1: Write the proportion equation
   49,934 : 105,502 = 105,502 : x
2. Step 2: Convert to fraction form
   49,934/105,502 = 105,502/x
3. Step 3: Cross multiply
   49,934x = 105,502 × 105,502
4. Step 4: Simplify right side
   49,934x = 11,130,672,004
5. Step 5: Solve for x
   x = 11,130,672,004/49,934
6. Step 6: Final answer
   x = 222,907.68