Finding the Third Proportional to 256,277 and 562,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,277 : 562,774.50 = 562,774.50 : x
2. Step 2: Convert to fraction form
   256,277/562,774.50 = 562,774.50/x
3. Step 3: Cross multiply
   256,277x = 562,774.50 × 562,774.50
4. Step 4: Simplify right side
   256,277x = 316,715,137,850.25
5. Step 5: Solve for x
   x = 316,715,137,850.25/256,277
6. Step 6: Final answer
   x = 1,235,831.30