Finding the Third Proportional to 49,444 and 109,565

Step by Step Solution

1. Step 1: Write the proportion equation
   49,444 : 109,565 = 109,565 : x
2. Step 2: Convert to fraction form
   49,444/109,565 = 109,565/x
3. Step 3: Cross multiply
   49,444x = 109,565 × 109,565
4. Step 4: Simplify right side
   49,444x = 12,004,489,225
5. Step 5: Solve for x
   x = 12,004,489,225/49,444
6. Step 6: Final answer
   x = 242,789.60