Finding the Third Proportional to 71,306 and 152,734

Step by Step Solution

1. Step 1: Write the proportion equation
   71,306 : 152,734 = 152,734 : x
2. Step 2: Convert to fraction form
   71,306/152,734 = 152,734/x
3. Step 3: Cross multiply
   71,306x = 152,734 × 152,734
4. Step 4: Simplify right side
   71,306x = 23,327,674,756
5. Step 5: Solve for x
   x = 23,327,674,756/71,306
6. Step 6: Final answer
   x = 327,148.83