Finding the Third Proportional to 380,072 and 826,300

Step by Step Solution

1. Step 1: Write the proportion equation
   380,072 : 826,300 = 826,300 : x
2. Step 2: Convert to fraction form
   380,072/826,300 = 826,300/x
3. Step 3: Cross multiply
   380,072x = 826,300 × 826,300
4. Step 4: Simplify right side
   380,072x = 682,771,690,000
5. Step 5: Solve for x
   x = 682,771,690,000/380,072
6. Step 6: Final answer
   x = 1,796,427.23