Finding the Third Proportional to 2,002,114 and 4,724,178

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002,114 : 4,724,178 = 4,724,178 : x
2. Step 2: Convert to fraction form
   2,002,114/4,724,178 = 4,724,178/x
3. Step 3: Cross multiply
   2,002,114x = 4,724,178 × 4,724,178
4. Step 4: Simplify right side
   2,002,114x = 22,317,857,775,684
5. Step 5: Solve for x
   x = 22,317,857,775,684/2,002,114
6. Step 6: Final answer
   x = 11,147,146.35