Finding the Third Proportional to 158,002 and 338,147

Step by Step Solution

1. Step 1: Write the proportion equation
   158,002 : 338,147 = 338,147 : x
2. Step 2: Convert to fraction form
   158,002/338,147 = 338,147/x
3. Step 3: Cross multiply
   158,002x = 338,147 × 338,147
4. Step 4: Simplify right side
   158,002x = 114,343,393,609
5. Step 5: Solve for x
   x = 114,343,393,609/158,002
6. Step 6: Final answer
   x = 723,683.20