Finding the Third Proportional to 824,256 and 1,757,380

Step by Step Solution

1. Step 1: Write the proportion equation
   824,256 : 1,757,380 = 1,757,380 : x
2. Step 2: Convert to fraction form
   824,256/1,757,380 = 1,757,380/x
3. Step 3: Cross multiply
   824,256x = 1,757,380 × 1,757,380
4. Step 4: Simplify right side
   824,256x = 3,088,384,464,400
5. Step 5: Solve for x
   x = 3,088,384,464,400/824,256
6. Step 6: Final answer
   x = 3,746,875.32