Finding the Third Proportional to 327,103.50 and 463,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,103.50 : 463,870.50 = 463,870.50 : x
2. Step 2: Convert to fraction form
   327,103.50/463,870.50 = 463,870.50/x
3. Step 3: Cross multiply
   327,103.50x = 463,870.50 × 463,870.50
4. Step 4: Simplify right side
   327,103.50x = 215,175,840,770.25
5. Step 5: Solve for x
   x = 215,175,840,770.25/327,103.50
6. Step 6: Final answer
   x = 657,821.88