Finding the Third Proportional to 806,400 and 1,201,824

Step by Step Solution

1. Step 1: Write the proportion equation
   806,400 : 1,201,824 = 1,201,824 : x
2. Step 2: Convert to fraction form
   806,400/1,201,824 = 1,201,824/x
3. Step 3: Cross multiply
   806,400x = 1,201,824 × 1,201,824
4. Step 4: Simplify right side
   806,400x = 1,444,380,926,976
5. Step 5: Solve for x
   x = 1,444,380,926,976/806,400
6. Step 6: Final answer
   x = 1,791,146.98