Finding the Third Proportional to 174,962.25 and 383,823

Step by Step Solution

1. Step 1: Write the proportion equation
   174,962.25 : 383,823 = 383,823 : x
2. Step 2: Convert to fraction form
   174,962.25/383,823 = 383,823/x
3. Step 3: Cross multiply
   174,962.25x = 383,823 × 383,823
4. Step 4: Simplify right side
   174,962.25x = 147,320,095,329
5. Step 5: Solve for x
   x = 147,320,095,329/174,962.25
6. Step 6: Final answer
   x = 842,010.75