Finding the Third Proportional to 1,200,478 and 1,831,204

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200,478 : 1,831,204 = 1,831,204 : x
2. Step 2: Convert to fraction form
   1,200,478/1,831,204 = 1,831,204/x
3. Step 3: Cross multiply
   1,200,478x = 1,831,204 × 1,831,204
4. Step 4: Simplify right side
   1,200,478x = 3,353,308,089,616
5. Step 5: Solve for x
   x = 3,353,308,089,616/1,200,478
6. Step 6: Final answer
   x = 2,793,310.74