Finding the Third Proportional to 2,082,836 and 4,565,164

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082,836 : 4,565,164 = 4,565,164 : x
2. Step 2: Convert to fraction form
   2,082,836/4,565,164 = 4,565,164/x
3. Step 3: Cross multiply
   2,082,836x = 4,565,164 × 4,565,164
4. Step 4: Simplify right side
   2,082,836x = 20,840,722,346,896
5. Step 5: Solve for x
   x = 20,840,722,346,896/2,082,836
6. Step 6: Final answer
   x = 10,005,935.34