Finding the Third Proportional to 824,584 and 1,790,168

Step by Step Solution

1. Step 1: Write the proportion equation
   824,584 : 1,790,168 = 1,790,168 : x
2. Step 2: Convert to fraction form
   824,584/1,790,168 = 1,790,168/x
3. Step 3: Cross multiply
   824,584x = 1,790,168 × 1,790,168
4. Step 4: Simplify right side
   824,584x = 3,204,701,468,224
5. Step 5: Solve for x
   x = 3,204,701,468,224/824,584
6. Step 6: Final answer
   x = 3,886,446.34