Finding the Third Proportional to 70,584 and 146,976

Step by Step Solution

1. Step 1: Write the proportion equation
   70,584 : 146,976 = 146,976 : x
2. Step 2: Convert to fraction form
   70,584/146,976 = 146,976/x
3. Step 3: Cross multiply
   70,584x = 146,976 × 146,976
4. Step 4: Simplify right side
   70,584x = 21,601,944,576
5. Step 5: Solve for x
   x = 21,601,944,576/70,584
6. Step 6: Final answer
   x = 306,045.91