Finding the Third Proportional to 175,296.50 and 383,762

Step by Step Solution

1. Step 1: Write the proportion equation
   175,296.50 : 383,762 = 383,762 : x
2. Step 2: Convert to fraction form
   175,296.50/383,762 = 383,762/x
3. Step 3: Cross multiply
   175,296.50x = 383,762 × 383,762
4. Step 4: Simplify right side
   175,296.50x = 147,273,272,644
5. Step 5: Solve for x
   x = 147,273,272,644/175,296.50
6. Step 6: Final answer
   x = 840,138.12