Finding the Third Proportional to 71,839 and 152,768

Step by Step Solution

1. Step 1: Write the proportion equation
   71,839 : 152,768 = 152,768 : x
2. Step 2: Convert to fraction form
   71,839/152,768 = 152,768/x
3. Step 3: Cross multiply
   71,839x = 152,768 × 152,768
4. Step 4: Simplify right side
   71,839x = 23,338,061,824
5. Step 5: Solve for x
   x = 23,338,061,824/71,839
6. Step 6: Final answer
   x = 324,866.18