Finding the Third Proportional to 49,726 and 108,902

Step by Step Solution

1. Step 1: Write the proportion equation
   49,726 : 108,902 = 108,902 : x
2. Step 2: Convert to fraction form
   49,726/108,902 = 108,902/x
3. Step 3: Cross multiply
   49,726x = 108,902 × 108,902
4. Step 4: Simplify right side
   49,726x = 11,859,645,604
5. Step 5: Solve for x
   x = 11,859,645,604/49,726
6. Step 6: Final answer
   x = 238,499.89