Finding the Third Proportional to 71,945 and 146,746

Step by Step Solution

1. Step 1: Write the proportion equation
   71,945 : 146,746 = 146,746 : x
2. Step 2: Convert to fraction form
   71,945/146,746 = 146,746/x
3. Step 3: Cross multiply
   71,945x = 146,746 × 146,746
4. Step 4: Simplify right side
   71,945x = 21,534,388,516
5. Step 5: Solve for x
   x = 21,534,388,516/71,945
6. Step 6: Final answer
   x = 299,317.37