Finding the Third Proportional to 386,448 and 830,036

Step by Step Solution

1. Step 1: Write the proportion equation
   386,448 : 830,036 = 830,036 : x
2. Step 2: Convert to fraction form
   386,448/830,036 = 830,036/x
3. Step 3: Cross multiply
   386,448x = 830,036 × 830,036
4. Step 4: Simplify right side
   386,448x = 688,959,761,296
5. Step 5: Solve for x
   x = 688,959,761,296/386,448
6. Step 6: Final answer
   x = 1,782,800.69