Finding the Third Proportional to 380,220 and 833,016

Step by Step Solution

1. Step 1: Write the proportion equation
   380,220 : 833,016 = 833,016 : x
2. Step 2: Convert to fraction form
   380,220/833,016 = 833,016/x
3. Step 3: Cross multiply
   380,220x = 833,016 × 833,016
4. Step 4: Simplify right side
   380,220x = 693,915,656,256
5. Step 5: Solve for x
   x = 693,915,656,256/380,220
6. Step 6: Final answer
   x = 1,825,037.23