Finding the Third Proportional to 109,570 and 227,563

Step by Step Solution

1. Step 1: Write the proportion equation
   109,570 : 227,563 = 227,563 : x
2. Step 2: Convert to fraction form
   109,570/227,563 = 227,563/x
3. Step 3: Cross multiply
   109,570x = 227,563 × 227,563
4. Step 4: Simplify right side
   109,570x = 51,784,918,969
5. Step 5: Solve for x
   x = 51,784,918,969/109,570
6. Step 6: Final answer
   x = 472,619.50