Finding the Third Proportional to 199,564.50 and 428,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,564.50 : 428,653.50 = 428,653.50 : x
2. Step 2: Convert to fraction form
   199,564.50/428,653.50 = 428,653.50/x
3. Step 3: Cross multiply
   199,564.50x = 428,653.50 × 428,653.50
4. Step 4: Simplify right side
   199,564.50x = 183,743,823,062.25
5. Step 5: Solve for x
   x = 183,743,823,062.25/199,564.50
6. Step 6: Final answer
   x = 920,723.99