Finding the Third Proportional to 73,867 and 152,089

Step by Step Solution

1. Step 1: Write the proportion equation
   73,867 : 152,089 = 152,089 : x
2. Step 2: Convert to fraction form
   73,867/152,089 = 152,089/x
3. Step 3: Cross multiply
   73,867x = 152,089 × 152,089
4. Step 4: Simplify right side
   73,867x = 23,131,063,921
5. Step 5: Solve for x
   x = 23,131,063,921/73,867
6. Step 6: Final answer
   x = 313,144.76