Finding the Third Proportional to 122,978.25 and 256,446

Step by Step Solution

1. Step 1: Write the proportion equation
   122,978.25 : 256,446 = 256,446 : x
2. Step 2: Convert to fraction form
   122,978.25/256,446 = 256,446/x
3. Step 3: Cross multiply
   122,978.25x = 256,446 × 256,446
4. Step 4: Simplify right side
   122,978.25x = 65,764,550,916
5. Step 5: Solve for x
   x = 65,764,550,916/122,978.25
6. Step 6: Final answer
   x = 534,765.71