Finding the Third Proportional to 114,978 and 171,761

Step by Step Solution

1. Step 1: Write the proportion equation
   114,978 : 171,761 = 171,761 : x
2. Step 2: Convert to fraction form
   114,978/171,761 = 171,761/x
3. Step 3: Cross multiply
   114,978x = 171,761 × 171,761
4. Step 4: Simplify right side
   114,978x = 29,501,841,121
5. Step 5: Solve for x
   x = 29,501,841,121/114,978
6. Step 6: Final answer
   x = 256,586.84