Finding the Third Proportional to 114,977 and 171,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,977 : 171,759.50 = 171,759.50 : x
2. Step 2: Convert to fraction form
   114,977/171,759.50 = 171,759.50/x
3. Step 3: Cross multiply
   114,977x = 171,759.50 × 171,759.50
4. Step 4: Simplify right side
   114,977x = 29,501,325,840.25
5. Step 5: Solve for x
   x = 29,501,325,840.25/114,977
6. Step 6: Final answer
   x = 256,584.59