Finding the Third Proportional to 263,970 and 425,010

Step by Step Solution

1. Step 1: Write the proportion equation
   263,970 : 425,010 = 425,010 : x
2. Step 2: Convert to fraction form
   263,970/425,010 = 425,010/x
3. Step 3: Cross multiply
   263,970x = 425,010 × 425,010
4. Step 4: Simplify right side
   263,970x = 180,633,500,100
5. Step 5: Solve for x
   x = 180,633,500,100/263,970
6. Step 6: Final answer
   x = 684,295.56