Finding the Third Proportional to 49,782 and 104,174

Step by Step Solution

1. Step 1: Write the proportion equation
   49,782 : 104,174 = 104,174 : x
2. Step 2: Convert to fraction form
   49,782/104,174 = 104,174/x
3. Step 3: Cross multiply
   49,782x = 104,174 × 104,174
4. Step 4: Simplify right side
   49,782x = 10,852,222,276
5. Step 5: Solve for x
   x = 10,852,222,276/49,782
6. Step 6: Final answer
   x = 217,994.90