Finding the Third Proportional to 218,838 and 471,156

Step by Step Solution

1. Step 1: Write the proportion equation
   218,838 : 471,156 = 471,156 : x
2. Step 2: Convert to fraction form
   218,838/471,156 = 471,156/x
3. Step 3: Cross multiply
   218,838x = 471,156 × 471,156
4. Step 4: Simplify right side
   218,838x = 221,987,976,336
5. Step 5: Solve for x
   x = 221,987,976,336/218,838
6. Step 6: Final answer
   x = 1,014,394.10