Finding the Third Proportional to 114,978 and 171,759

Step by Step Solution

1. Step 1: Write the proportion equation
   114,978 : 171,759 = 171,759 : x
2. Step 2: Convert to fraction form
   114,978/171,759 = 171,759/x
3. Step 3: Cross multiply
   114,978x = 171,759 × 171,759
4. Step 4: Simplify right side
   114,978x = 29,501,154,081
5. Step 5: Solve for x
   x = 29,501,154,081/114,978
6. Step 6: Final answer
   x = 256,580.86