Finding the Third Proportional to 782,440 and 1,648,945

Step by Step Solution

1. Step 1: Write the proportion equation
   782,440 : 1,648,945 = 1,648,945 : x
2. Step 2: Convert to fraction form
   782,440/1,648,945 = 1,648,945/x
3. Step 3: Cross multiply
   782,440x = 1,648,945 × 1,648,945
4. Step 4: Simplify right side
   782,440x = 2,719,019,613,025
5. Step 5: Solve for x
   x = 2,719,019,613,025/782,440
6. Step 6: Final answer
   x = 3,475,051.91