Finding the Third Proportional to 174,952.50 and 383,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,952.50 : 383,172.50 = 383,172.50 : x
2. Step 2: Convert to fraction form
   174,952.50/383,172.50 = 383,172.50/x
3. Step 3: Cross multiply
   174,952.50x = 383,172.50 × 383,172.50
4. Step 4: Simplify right side
   174,952.50x = 146,821,164,756.25
5. Step 5: Solve for x
   x = 146,821,164,756.25/174,952.50
6. Step 6: Final answer
   x = 839,205.87