Finding the Third Proportional to 73,206 and 152,766

Step by Step Solution

1. Step 1: Write the proportion equation
   73,206 : 152,766 = 152,766 : x
2. Step 2: Convert to fraction form
   73,206/152,766 = 152,766/x
3. Step 3: Cross multiply
   73,206x = 152,766 × 152,766
4. Step 4: Simplify right side
   73,206x = 23,337,450,756
5. Step 5: Solve for x
   x = 23,337,450,756/73,206
6. Step 6: Final answer
   x = 318,791.50