Finding the Third Proportional to 70,586 and 146,980

Step by Step Solution

1. Step 1: Write the proportion equation
   70,586 : 146,980 = 146,980 : x
2. Step 2: Convert to fraction form
   70,586/146,980 = 146,980/x
3. Step 3: Cross multiply
   70,586x = 146,980 × 146,980
4. Step 4: Simplify right side
   70,586x = 21,603,120,400
5. Step 5: Solve for x
   x = 21,603,120,400/70,586
6. Step 6: Final answer
   x = 306,053.90