Finding the Third Proportional to 49,184 and 108,352

Step by Step Solution

1. Step 1: Write the proportion equation
   49,184 : 108,352 = 108,352 : x
2. Step 2: Convert to fraction form
   49,184/108,352 = 108,352/x
3. Step 3: Cross multiply
   49,184x = 108,352 × 108,352
4. Step 4: Simplify right side
   49,184x = 11,740,155,904
5. Step 5: Solve for x
   x = 11,740,155,904/49,184
6. Step 6: Final answer
   x = 238,698.68