Finding the Third Proportional to 152,022 and 235,413

Step by Step Solution

1. Step 1: Write the proportion equation
   152,022 : 235,413 = 235,413 : x
2. Step 2: Convert to fraction form
   152,022/235,413 = 235,413/x
3. Step 3: Cross multiply
   152,022x = 235,413 × 235,413
4. Step 4: Simplify right side
   152,022x = 55,419,280,569
5. Step 5: Solve for x
   x = 55,419,280,569/152,022
6. Step 6: Final answer
   x = 364,547.77