Finding the Third Proportional to 49,980 and 105,536

Step by Step Solution

1. Step 1: Write the proportion equation
   49,980 : 105,536 = 105,536 : x
2. Step 2: Convert to fraction form
   49,980/105,536 = 105,536/x
3. Step 3: Cross multiply
   49,980x = 105,536 × 105,536
4. Step 4: Simplify right side
   49,980x = 11,137,847,296
5. Step 5: Solve for x
   x = 11,137,847,296/49,980
6. Step 6: Final answer
   x = 222,846.08