Finding the Third Proportional to 665,138 and 1,413,364

Step by Step Solution

1. Step 1: Write the proportion equation
   665,138 : 1,413,364 = 1,413,364 : x
2. Step 2: Convert to fraction form
   665,138/1,413,364 = 1,413,364/x
3. Step 3: Cross multiply
   665,138x = 1,413,364 × 1,413,364
4. Step 4: Simplify right side
   665,138x = 1,997,597,796,496
5. Step 5: Solve for x
   x = 1,997,597,796,496/665,138
6. Step 6: Final answer
   x = 3,003,283.22