Finding the Third Proportional to 175,914 and 384,086.25

Step by Step Solution

1. Step 1: Write the proportion equation
   175,914 : 384,086.25 = 384,086.25 : x
2. Step 2: Convert to fraction form
   175,914/384,086.25 = 384,086.25/x
3. Step 3: Cross multiply
   175,914x = 384,086.25 × 384,086.25
4. Step 4: Simplify right side
   175,914x = 147,522,247,439.06
5. Step 5: Solve for x
   x = 147,522,247,439.06/175,914
6. Step 6: Final answer
   x = 838,604.36