Finding the Third Proportional to 155,784 and 338,904

Step by Step Solution

1. Step 1: Write the proportion equation
   155,784 : 338,904 = 338,904 : x
2. Step 2: Convert to fraction form
   155,784/338,904 = 338,904/x
3. Step 3: Cross multiply
   155,784x = 338,904 × 338,904
4. Step 4: Simplify right side
   155,784x = 114,855,921,216
5. Step 5: Solve for x
   x = 114,855,921,216/155,784
6. Step 6: Final answer
   x = 737,276.75