Finding the Third Proportional to 76,977 and 160,002

Step by Step Solution

1. Step 1: Write the proportion equation
   76,977 : 160,002 = 160,002 : x
2. Step 2: Convert to fraction form
   76,977/160,002 = 160,002/x
3. Step 3: Cross multiply
   76,977x = 160,002 × 160,002
4. Step 4: Simplify right side
   76,977x = 25,600,640,004
5. Step 5: Solve for x
   x = 25,600,640,004/76,977
6. Step 6: Final answer
   x = 332,575.18