Finding the Third Proportional to 824,268 and 1,757,412

Step by Step Solution

1. Step 1: Write the proportion equation
   824,268 : 1,757,412 = 1,757,412 : x
2. Step 2: Convert to fraction form
   824,268/1,757,412 = 1,757,412/x
3. Step 3: Cross multiply
   824,268x = 1,757,412 × 1,757,412
4. Step 4: Simplify right side
   824,268x = 3,088,496,937,744
5. Step 5: Solve for x
   x = 3,088,496,937,744/824,268
6. Step 6: Final answer
   x = 3,746,957.22