Finding the Third Proportional to 49,443 and 109,563

Step by Step Solution

1. Step 1: Write the proportion equation
   49,443 : 109,563 = 109,563 : x
2. Step 2: Convert to fraction form
   49,443/109,563 = 109,563/x
3. Step 3: Cross multiply
   49,443x = 109,563 × 109,563
4. Step 4: Simplify right side
   49,443x = 12,004,050,969
5. Step 5: Solve for x
   x = 12,004,050,969/49,443
6. Step 6: Final answer
   x = 242,785.65