Finding the Third Proportional to 380,254 and 826,200

Step by Step Solution

1. Step 1: Write the proportion equation
   380,254 : 826,200 = 826,200 : x
2. Step 2: Convert to fraction form
   380,254/826,200 = 826,200/x
3. Step 3: Cross multiply
   380,254x = 826,200 × 826,200
4. Step 4: Simplify right side
   380,254x = 682,606,440,000
5. Step 5: Solve for x
   x = 682,606,440,000/380,254
6. Step 6: Final answer
   x = 1,795,132.83