Finding the Third Proportional to 227,583 and 327,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,583 : 327,820.50 = 327,820.50 : x
2. Step 2: Convert to fraction form
   227,583/327,820.50 = 327,820.50/x
3. Step 3: Cross multiply
   227,583x = 327,820.50 × 327,820.50
4. Step 4: Simplify right side
   227,583x = 107,466,280,220.25
5. Step 5: Solve for x
   x = 107,466,280,220.25/227,583
6. Step 6: Final answer
   x = 472,206.98