Finding the Third Proportional to 646,024 and 1,415,112

Step by Step Solution

1. Step 1: Write the proportion equation
   646,024 : 1,415,112 = 1,415,112 : x
2. Step 2: Convert to fraction form
   646,024/1,415,112 = 1,415,112/x
3. Step 3: Cross multiply
   646,024x = 1,415,112 × 1,415,112
4. Step 4: Simplify right side
   646,024x = 2,002,541,972,544
5. Step 5: Solve for x
   x = 2,002,541,972,544/646,024
6. Step 6: Final answer
   x = 3,099,795.01