Finding the Third Proportional to 70,686 and 154,980

Step by Step Solution

1. Step 1: Write the proportion equation
   70,686 : 154,980 = 154,980 : x
2. Step 2: Convert to fraction form
   70,686/154,980 = 154,980/x
3. Step 3: Cross multiply
   70,686x = 154,980 × 154,980
4. Step 4: Simplify right side
   70,686x = 24,018,800,400
5. Step 5: Solve for x
   x = 24,018,800,400/70,686
6. Step 6: Final answer
   x = 339,795.72