Finding the Third Proportional to 216,546 and 472,404

Step by Step Solution

1. Step 1: Write the proportion equation
   216,546 : 472,404 = 472,404 : x
2. Step 2: Convert to fraction form
   216,546/472,404 = 472,404/x
3. Step 3: Cross multiply
   216,546x = 472,404 × 472,404
4. Step 4: Simplify right side
   216,546x = 223,165,539,216
5. Step 5: Solve for x
   x = 223,165,539,216/216,546
6. Step 6: Final answer
   x = 1,030,568.74