Finding the Third Proportional to 216,946 and 471,208

Step by Step Solution

1. Step 1: Write the proportion equation
   216,946 : 471,208 = 471,208 : x
2. Step 2: Convert to fraction form
   216,946/471,208 = 471,208/x
3. Step 3: Cross multiply
   216,946x = 471,208 × 471,208
4. Step 4: Simplify right side
   216,946x = 222,036,979,264
5. Step 5: Solve for x
   x = 222,036,979,264/216,946
6. Step 6: Final answer
   x = 1,023,466.57