Finding the Third Proportional to 71,724 and 146,616

Step by Step Solution

1. Step 1: Write the proportion equation
   71,724 : 146,616 = 146,616 : x
2. Step 2: Convert to fraction form
   71,724/146,616 = 146,616/x
3. Step 3: Cross multiply
   71,724x = 146,616 × 146,616
4. Step 4: Simplify right side
   71,724x = 21,496,251,456
5. Step 5: Solve for x
   x = 21,496,251,456/71,724
6. Step 6: Final answer
   x = 299,707.93