Finding the Third Proportional to 227,592 and 327,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,592 : 327,832.50 = 327,832.50 : x
2. Step 2: Convert to fraction form
   227,592/327,832.50 = 327,832.50/x
3. Step 3: Cross multiply
   227,592x = 327,832.50 × 327,832.50
4. Step 4: Simplify right side
   227,592x = 107,474,148,056.25
5. Step 5: Solve for x
   x = 107,474,148,056.25/227,592
6. Step 6: Final answer
   x = 472,222.87