Finding the Third Proportional to 175,942.50 and 383,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,942.50 : 383,641.50 = 383,641.50 : x
2. Step 2: Convert to fraction form
   175,942.50/383,641.50 = 383,641.50/x
3. Step 3: Cross multiply
   175,942.50x = 383,641.50 × 383,641.50
4. Step 4: Simplify right side
   175,942.50x = 147,180,800,522.25
5. Step 5: Solve for x
   x = 147,180,800,522.25/175,942.50
6. Step 6: Final answer
   x = 836,527.85