Finding the Third Proportional to 402,003 and 862,308

Step by Step Solution

1. Step 1: Write the proportion equation
   402,003 : 862,308 = 862,308 : x
2. Step 2: Convert to fraction form
   402,003/862,308 = 862,308/x
3. Step 3: Cross multiply
   402,003x = 862,308 × 862,308
4. Step 4: Simplify right side
   402,003x = 743,575,086,864
5. Step 5: Solve for x
   x = 743,575,086,864/402,003
6. Step 6: Final answer
   x = 1,849,675.47