Finding the Third Proportional to 2,897,204 and 4,586,565

Step by Step Solution

1. Step 1: Write the proportion equation
   2,897,204 : 4,586,565 = 4,586,565 : x
2. Step 2: Convert to fraction form
   2,897,204/4,586,565 = 4,586,565/x
3. Step 3: Cross multiply
   2,897,204x = 4,586,565 × 4,586,565
4. Step 4: Simplify right side
   2,897,204x = 21,036,578,499,225
5. Step 5: Solve for x
   x = 21,036,578,499,225/2,897,204
6. Step 6: Final answer
   x = 7,260,993.18