Finding the Third Proportional to 108,978 and 166,635

Step by Step Solution

1. Step 1: Write the proportion equation
   108,978 : 166,635 = 166,635 : x
2. Step 2: Convert to fraction form
   108,978/166,635 = 166,635/x
3. Step 3: Cross multiply
   108,978x = 166,635 × 166,635
4. Step 4: Simplify right side
   108,978x = 27,767,223,225
5. Step 5: Solve for x
   x = 27,767,223,225/108,978
6. Step 6: Final answer
   x = 254,796.59