Finding the Third Proportional to 49,654 and 104,414

Step by Step Solution

1. Step 1: Write the proportion equation
   49,654 : 104,414 = 104,414 : x
2. Step 2: Convert to fraction form
   49,654/104,414 = 104,414/x
3. Step 3: Cross multiply
   49,654x = 104,414 × 104,414
4. Step 4: Simplify right side
   49,654x = 10,902,283,396
5. Step 5: Solve for x
   x = 10,902,283,396/49,654
6. Step 6: Final answer
   x = 219,565.06