Finding the Third Proportional to 327,544.50 and 463,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,544.50 : 463,978.50 = 463,978.50 : x
2. Step 2: Convert to fraction form
   327,544.50/463,978.50 = 463,978.50/x
3. Step 3: Cross multiply
   327,544.50x = 463,978.50 × 463,978.50
4. Step 4: Simplify right side
   327,544.50x = 215,276,048,462.25
5. Step 5: Solve for x
   x = 215,276,048,462.25/327,544.50
6. Step 6: Final answer
   x = 657,242.14