Finding the Third Proportional to 116,977 and 174,686

Step by Step Solution

1. Step 1: Write the proportion equation
   116,977 : 174,686 = 174,686 : x
2. Step 2: Convert to fraction form
   116,977/174,686 = 174,686/x
3. Step 3: Cross multiply
   116,977x = 174,686 × 174,686
4. Step 4: Simplify right side
   116,977x = 30,515,198,596
5. Step 5: Solve for x
   x = 30,515,198,596/116,977
6. Step 6: Final answer
   x = 260,864.94