Finding the Third Proportional to 824,400 and 1,808,208

Step by Step Solution

1. Step 1: Write the proportion equation
   824,400 : 1,808,208 = 1,808,208 : x
2. Step 2: Convert to fraction form
   824,400/1,808,208 = 1,808,208/x
3. Step 3: Cross multiply
   824,400x = 1,808,208 × 1,808,208
4. Step 4: Simplify right side
   824,400x = 3,269,616,171,264
5. Step 5: Solve for x
   x = 3,269,616,171,264/824,400
6. Step 6: Final answer
   x = 3,966,055.52