Finding the Third Proportional to 154,336 and 338,216

Step by Step Solution

1. Step 1: Write the proportion equation
   154,336 : 338,216 = 338,216 : x
2. Step 2: Convert to fraction form
   154,336/338,216 = 338,216/x
3. Step 3: Cross multiply
   154,336x = 338,216 × 338,216
4. Step 4: Simplify right side
   154,336x = 114,390,062,656
5. Step 5: Solve for x
   x = 114,390,062,656/154,336
6. Step 6: Final answer
   x = 741,175.50