Finding the Third Proportional to 256,680 and 622,012

Step by Step Solution

1. Step 1: Write the proportion equation
   256,680 : 622,012 = 622,012 : x
2. Step 2: Convert to fraction form
   256,680/622,012 = 622,012/x
3. Step 3: Cross multiply
   256,680x = 622,012 × 622,012
4. Step 4: Simplify right side
   256,680x = 386,898,928,144
5. Step 5: Solve for x
   x = 386,898,928,144/256,680
6. Step 6: Final answer
   x = 1,507,320.12