Finding the Third Proportional to 71,970 and 146,802

Step by Step Solution

1. Step 1: Write the proportion equation
   71,970 : 146,802 = 146,802 : x
2. Step 2: Convert to fraction form
   71,970/146,802 = 146,802/x
3. Step 3: Cross multiply
   71,970x = 146,802 × 146,802
4. Step 4: Simplify right side
   71,970x = 21,550,827,204
5. Step 5: Solve for x
   x = 21,550,827,204/71,970
6. Step 6: Final answer
   x = 299,441.81