Finding the Third Proportional to 256,263 and 382,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,263 : 382,315.50 = 382,315.50 : x
2. Step 2: Convert to fraction form
   256,263/382,315.50 = 382,315.50/x
3. Step 3: Cross multiply
   256,263x = 382,315.50 × 382,315.50
4. Step 4: Simplify right side
   256,263x = 146,165,141,540.25
5. Step 5: Solve for x
   x = 146,165,141,540.25/256,263
6. Step 6: Final answer
   x = 570,371.62