Finding the Third Proportional to 189,838.50 and 401,022

Step by Step Solution

1. Step 1: Write the proportion equation
   189,838.50 : 401,022 = 401,022 : x
2. Step 2: Convert to fraction form
   189,838.50/401,022 = 401,022/x
3. Step 3: Cross multiply
   189,838.50x = 401,022 × 401,022
4. Step 4: Simplify right side
   189,838.50x = 160,818,644,484
5. Step 5: Solve for x
   x = 160,818,644,484/189,838.50
6. Step 6: Final answer
   x = 847,133.98