Finding the Third Proportional to 380,066 and 802,852

Step by Step Solution

1. Step 1: Write the proportion equation
   380,066 : 802,852 = 802,852 : x
2. Step 2: Convert to fraction form
   380,066/802,852 = 802,852/x
3. Step 3: Cross multiply
   380,066x = 802,852 × 802,852
4. Step 4: Simplify right side
   380,066x = 644,571,333,904
5. Step 5: Solve for x
   x = 644,571,333,904/380,066
6. Step 6: Final answer
   x = 1,695,945.79