Finding the Third Proportional to 49,168 and 106,662

Step by Step Solution

1. Step 1: Write the proportion equation
   49,168 : 106,662 = 106,662 : x
2. Step 2: Convert to fraction form
   49,168/106,662 = 106,662/x
3. Step 3: Cross multiply
   49,168x = 106,662 × 106,662
4. Step 4: Simplify right side
   49,168x = 11,376,782,244
5. Step 5: Solve for x
   x = 11,376,782,244/49,168
6. Step 6: Final answer
   x = 231,385.91