Finding the Third Proportional to 71,949 and 146,753

Step by Step Solution

1. Step 1: Write the proportion equation
   71,949 : 146,753 = 146,753 : x
2. Step 2: Convert to fraction form
   71,949/146,753 = 146,753/x
3. Step 3: Cross multiply
   71,949x = 146,753 × 146,753
4. Step 4: Simplify right side
   71,949x = 21,536,443,009
5. Step 5: Solve for x
   x = 21,536,443,009/71,949
6. Step 6: Final answer
   x = 299,329.29