Finding the Third Proportional to 185,814 and 401,436

Step by Step Solution

1. Step 1: Write the proportion equation
   185,814 : 401,436 = 401,436 : x
2. Step 2: Convert to fraction form
   185,814/401,436 = 401,436/x
3. Step 3: Cross multiply
   185,814x = 401,436 × 401,436
4. Step 4: Simplify right side
   185,814x = 161,150,862,096
5. Step 5: Solve for x
   x = 161,150,862,096/185,814
6. Step 6: Final answer
   x = 867,269.75