Finding the Third Proportional to 386,364 and 591,022

Step by Step Solution

1. Step 1: Write the proportion equation
   386,364 : 591,022 = 591,022 : x
2. Step 2: Convert to fraction form
   386,364/591,022 = 591,022/x
3. Step 3: Cross multiply
   386,364x = 591,022 × 591,022
4. Step 4: Simplify right side
   386,364x = 349,307,004,484
5. Step 5: Solve for x
   x = 349,307,004,484/386,364
6. Step 6: Final answer
   x = 904,087.87