Finding the Third Proportional to 49,216 and 107,648

Step by Step Solution

1. Step 1: Write the proportion equation
   49,216 : 107,648 = 107,648 : x
2. Step 2: Convert to fraction form
   49,216/107,648 = 107,648/x
3. Step 3: Cross multiply
   49,216x = 107,648 × 107,648
4. Step 4: Simplify right side
   49,216x = 11,588,091,904
5. Step 5: Solve for x
   x = 11,588,091,904/49,216
6. Step 6: Final answer
   x = 235,453.75