Finding the Third Proportional to 49,764 and 109,352

Step by Step Solution

1. Step 1: Write the proportion equation
   49,764 : 109,352 = 109,352 : x
2. Step 2: Convert to fraction form
   49,764/109,352 = 109,352/x
3. Step 3: Cross multiply
   49,764x = 109,352 × 109,352
4. Step 4: Simplify right side
   49,764x = 11,957,859,904
5. Step 5: Solve for x
   x = 11,957,859,904/49,764
6. Step 6: Final answer
   x = 240,291.37