Finding the Third Proportional to 175,758 and 383,592

Step by Step Solution

1. Step 1: Write the proportion equation
   175,758 : 383,592 = 383,592 : x
2. Step 2: Convert to fraction form
   175,758/383,592 = 383,592/x
3. Step 3: Cross multiply
   175,758x = 383,592 × 383,592
4. Step 4: Simplify right side
   175,758x = 147,142,822,464
5. Step 5: Solve for x
   x = 147,142,822,464/175,758
6. Step 6: Final answer
   x = 837,189.90