Finding the Third Proportional to 380,142 and 823,020.75

Step by Step Solution

1. Step 1: Write the proportion equation
   380,142 : 823,020.75 = 823,020.75 : x
2. Step 2: Convert to fraction form
   380,142/823,020.75 = 823,020.75/x
3. Step 3: Cross multiply
   380,142x = 823,020.75 × 823,020.75
4. Step 4: Simplify right side
   380,142x = 677,363,154,930.56
5. Step 5: Solve for x
   x = 677,363,154,930.56/380,142
6. Step 6: Final answer
   x = 1,781,868.76