Finding the Third Proportional to 380,744 and 902,003

Step by Step Solution

1. Step 1: Write the proportion equation
   380,744 : 902,003 = 902,003 : x
2. Step 2: Convert to fraction form
   380,744/902,003 = 902,003/x
3. Step 3: Cross multiply
   380,744x = 902,003 × 902,003
4. Step 4: Simplify right side
   380,744x = 813,609,412,009
5. Step 5: Solve for x
   x = 813,609,412,009/380,744
6. Step 6: Final answer
   x = 2,136,893.59