Finding the Third Proportional to 49,216 and 108,584

Step by Step Solution

1. Step 1: Write the proportion equation
   49,216 : 108,584 = 108,584 : x
2. Step 2: Convert to fraction form
   49,216/108,584 = 108,584/x
3. Step 3: Cross multiply
   49,216x = 108,584 × 108,584
4. Step 4: Simplify right side
   49,216x = 11,790,485,056
5. Step 5: Solve for x
   x = 11,790,485,056/49,216
6. Step 6: Final answer
   x = 239,566.10