Finding the Third Proportional to 110,586 and 165,978

Step by Step Solution

1. Step 1: Write the proportion equation
   110,586 : 165,978 = 165,978 : x
2. Step 2: Convert to fraction form
   110,586/165,978 = 165,978/x
3. Step 3: Cross multiply
   110,586x = 165,978 × 165,978
4. Step 4: Simplify right side
   110,586x = 27,548,696,484
5. Step 5: Solve for x
   x = 27,548,696,484/110,586
6. Step 6: Final answer
   x = 249,115.59