Finding the Third Proportional to 71,462.25 and 152,766

Step by Step Solution

1. Step 1: Write the proportion equation
   71,462.25 : 152,766 = 152,766 : x
2. Step 2: Convert to fraction form
   71,462.25/152,766 = 152,766/x
3. Step 3: Cross multiply
   71,462.25x = 152,766 × 152,766
4. Step 4: Simplify right side
   71,462.25x = 23,337,450,756
5. Step 5: Solve for x
   x = 23,337,450,756/71,462.25
6. Step 6: Final answer
   x = 326,570.33