Finding the Third Proportional to 477,678 and 1,007,196

Step by Step Solution

1. Step 1: Write the proportion equation
   477,678 : 1,007,196 = 1,007,196 : x
2. Step 2: Convert to fraction form
   477,678/1,007,196 = 1,007,196/x
3. Step 3: Cross multiply
   477,678x = 1,007,196 × 1,007,196
4. Step 4: Simplify right side
   477,678x = 1,014,443,782,416
5. Step 5: Solve for x
   x = 1,014,443,782,416/477,678
6. Step 6: Final answer
   x = 2,123,697.94