Finding the Third Proportional to 49,654 and 117,116

Step by Step Solution

1. Step 1: Write the proportion equation
   49,654 : 117,116 = 117,116 : x
2. Step 2: Convert to fraction form
   49,654/117,116 = 117,116/x
3. Step 3: Cross multiply
   49,654x = 117,116 × 117,116
4. Step 4: Simplify right side
   49,654x = 13,716,157,456
5. Step 5: Solve for x
   x = 13,716,157,456/49,654
6. Step 6: Final answer
   x = 276,234.69