Finding the Third Proportional to 49,692 and 108,696

Step by Step Solution

1. Step 1: Write the proportion equation
   49,692 : 108,696 = 108,696 : x
2. Step 2: Convert to fraction form
   49,692/108,696 = 108,696/x
3. Step 3: Cross multiply
   49,692x = 108,696 × 108,696
4. Step 4: Simplify right side
   49,692x = 11,814,820,416
5. Step 5: Solve for x
   x = 11,814,820,416/49,692
6. Step 6: Final answer
   x = 237,761.02