Finding the Third Proportional to 177,315 and 384,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,315 : 384,771.50 = 384,771.50 : x
2. Step 2: Convert to fraction form
   177,315/384,771.50 = 384,771.50/x
3. Step 3: Cross multiply
   177,315x = 384,771.50 × 384,771.50
4. Step 4: Simplify right side
   177,315x = 148,049,107,212.25
5. Step 5: Solve for x
   x = 148,049,107,212.25/177,315
6. Step 6: Final answer
   x = 834,949.71