Finding the Third Proportional to 374,181.75 and 823,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   374,181.75 : 823,099.50 = 823,099.50 : x
2. Step 2: Convert to fraction form
   374,181.75/823,099.50 = 823,099.50/x
3. Step 3: Cross multiply
   374,181.75x = 823,099.50 × 823,099.50
4. Step 4: Simplify right side
   374,181.75x = 677,492,786,900.25
5. Step 5: Solve for x
   x = 677,492,786,900.25/374,181.75
6. Step 6: Final answer
   x = 1,810,598.16