Finding the Third Proportional to 823,500 and 1,784,460

Step by Step Solution

1. Step 1: Write the proportion equation
   823,500 : 1,784,460 = 1,784,460 : x
2. Step 2: Convert to fraction form
   823,500/1,784,460 = 1,784,460/x
3. Step 3: Cross multiply
   823,500x = 1,784,460 × 1,784,460
4. Step 4: Simplify right side
   823,500x = 3,184,297,491,600
5. Step 5: Solve for x
   x = 3,184,297,491,600/823,500
6. Step 6: Final answer
   x = 3,866,785.05