Finding the Third Proportional to 256,320 and 384,354

Step by Step Solution

1. Step 1: Write the proportion equation
   256,320 : 384,354 = 384,354 : x
2. Step 2: Convert to fraction form
   256,320/384,354 = 384,354/x
3. Step 3: Cross multiply
   256,320x = 384,354 × 384,354
4. Step 4: Simplify right side
   256,320x = 147,727,997,316
5. Step 5: Solve for x
   x = 147,727,997,316/256,320
6. Step 6: Final answer
   x = 576,342.06