Finding the Third Proportional to 382,722.75 and 802,350

Step by Step Solution

1. Step 1: Write the proportion equation
   382,722.75 : 802,350 = 802,350 : x
2. Step 2: Convert to fraction form
   382,722.75/802,350 = 802,350/x
3. Step 3: Cross multiply
   382,722.75x = 802,350 × 802,350
4. Step 4: Simplify right side
   382,722.75x = 643,765,522,500
5. Step 5: Solve for x
   x = 643,765,522,500/382,722.75
6. Step 6: Final answer
   x = 1,682,067.56