Finding the Third Proportional to 823,565 and 1,778,350

Step by Step Solution

1. Step 1: Write the proportion equation
   823,565 : 1,778,350 = 1,778,350 : x
2. Step 2: Convert to fraction form
   823,565/1,778,350 = 1,778,350/x
3. Step 3: Cross multiply
   823,565x = 1,778,350 × 1,778,350
4. Step 4: Simplify right side
   823,565x = 3,162,528,722,500
5. Step 5: Solve for x
   x = 3,162,528,722,500/823,565
6. Step 6: Final answer
   x = 3,840,047.50