Finding the Third Proportional to 902,378 and 2,006,499

Step by Step Solution

1. Step 1: Write the proportion equation
   902,378 : 2,006,499 = 2,006,499 : x
2. Step 2: Convert to fraction form
   902,378/2,006,499 = 2,006,499/x
3. Step 3: Cross multiply
   902,378x = 2,006,499 × 2,006,499
4. Step 4: Simplify right side
   902,378x = 4,026,038,237,001
5. Step 5: Solve for x
   x = 4,026,038,237,001/902,378
6. Step 6: Final answer
   x = 4,461,587.31