Finding the Third Proportional to 256,352 and 382,404

Step by Step Solution

1. Step 1: Write the proportion equation
   256,352 : 382,404 = 382,404 : x
2. Step 2: Convert to fraction form
   256,352/382,404 = 382,404/x
3. Step 3: Cross multiply
   256,352x = 382,404 × 382,404
4. Step 4: Simplify right side
   256,352x = 146,232,819,216
5. Step 5: Solve for x
   x = 146,232,819,216/256,352
6. Step 6: Final answer
   x = 570,437.60