Finding the Third Proportional to 318,894 and 493,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   318,894 : 493,745.50 = 493,745.50 : x
2. Step 2: Convert to fraction form
   318,894/493,745.50 = 493,745.50/x
3. Step 3: Cross multiply
   318,894x = 493,745.50 × 493,745.50
4. Step 4: Simplify right side
   318,894x = 243,784,618,770.25
5. Step 5: Solve for x
   x = 243,784,618,770.25/318,894
6. Step 6: Final answer
   x = 764,469.13