Finding the Third Proportional to 214,762 and 472,004

Step by Step Solution

1. Step 1: Write the proportion equation
   214,762 : 472,004 = 472,004 : x
2. Step 2: Convert to fraction form
   214,762/472,004 = 472,004/x
3. Step 3: Cross multiply
   214,762x = 472,004 × 472,004
4. Step 4: Simplify right side
   214,762x = 222,787,776,016
5. Step 5: Solve for x
   x = 222,787,776,016/214,762
6. Step 6: Final answer
   x = 1,037,370.56