Finding the Third Proportional to 49,932 and 105,498

Step by Step Solution

1. Step 1: Write the proportion equation
   49,932 : 105,498 = 105,498 : x
2. Step 2: Convert to fraction form
   49,932/105,498 = 105,498/x
3. Step 3: Cross multiply
   49,932x = 105,498 × 105,498
4. Step 4: Simplify right side
   49,932x = 11,129,828,004
5. Step 5: Solve for x
   x = 11,129,828,004/49,932
6. Step 6: Final answer
   x = 222,899.70