Finding the Third Proportional to 374,298 and 821,064

Step by Step Solution

1. Step 1: Write the proportion equation
   374,298 : 821,064 = 821,064 : x
2. Step 2: Convert to fraction form
   374,298/821,064 = 821,064/x
3. Step 3: Cross multiply
   374,298x = 821,064 × 821,064
4. Step 4: Simplify right side
   374,298x = 674,146,092,096
5. Step 5: Solve for x
   x = 674,146,092,096/374,298
6. Step 6: Final answer
   x = 1,801,094.56