Finding the Third Proportional to 1,823,563 and 4,221,223

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823,563 : 4,221,223 = 4,221,223 : x
2. Step 2: Convert to fraction form
   1,823,563/4,221,223 = 4,221,223/x
3. Step 3: Cross multiply
   1,823,563x = 4,221,223 × 4,221,223
4. Step 4: Simplify right side
   1,823,563x = 17,818,723,615,729
5. Step 5: Solve for x
   x = 17,818,723,615,729/1,823,563
6. Step 6: Final answer
   x = 9,771,378.13