Finding the Third Proportional to 71,741 and 146,398

Step by Step Solution

1. Step 1: Write the proportion equation
   71,741 : 146,398 = 146,398 : x
2. Step 2: Convert to fraction form
   71,741/146,398 = 146,398/x
3. Step 3: Cross multiply
   71,741x = 146,398 × 146,398
4. Step 4: Simplify right side
   71,741x = 21,432,374,404
5. Step 5: Solve for x
   x = 21,432,374,404/71,741
6. Step 6: Final answer
   x = 298,746.52