Finding the Third Proportional to 71,662 and 155,768

Step by Step Solution

1. Step 1: Write the proportion equation
   71,662 : 155,768 = 155,768 : x
2. Step 2: Convert to fraction form
   71,662/155,768 = 155,768/x
3. Step 3: Cross multiply
   71,662x = 155,768 × 155,768
4. Step 4: Simplify right side
   71,662x = 24,263,669,824
5. Step 5: Solve for x
   x = 24,263,669,824/71,662
6. Step 6: Final answer
   x = 338,584.88