Finding the Third Proportional to 379,018 and 824,852

Step by Step Solution

1. Step 1: Write the proportion equation
   379,018 : 824,852 = 824,852 : x
2. Step 2: Convert to fraction form
   379,018/824,852 = 824,852/x
3. Step 3: Cross multiply
   379,018x = 824,852 × 824,852
4. Step 4: Simplify right side
   379,018x = 680,380,821,904
5. Step 5: Solve for x
   x = 680,380,821,904/379,018
6. Step 6: Final answer
   x = 1,795,114.80