Finding the Third Proportional to 71,743 and 146,402

Step by Step Solution

1. Step 1: Write the proportion equation
   71,743 : 146,402 = 146,402 : x
2. Step 2: Convert to fraction form
   71,743/146,402 = 146,402/x
3. Step 3: Cross multiply
   71,743x = 146,402 × 146,402
4. Step 4: Simplify right side
   71,743x = 21,433,545,604
5. Step 5: Solve for x
   x = 21,433,545,604/71,743
6. Step 6: Final answer
   x = 298,754.52