Finding the Third Proportional to 363,186.50 and 428,797

Step by Step Solution

1. Step 1: Write the proportion equation
   363,186.50 : 428,797 = 428,797 : x
2. Step 2: Convert to fraction form
   363,186.50/428,797 = 428,797/x
3. Step 3: Cross multiply
   363,186.50x = 428,797 × 428,797
4. Step 4: Simplify right side
   363,186.50x = 183,866,867,209
5. Step 5: Solve for x
   x = 183,866,867,209/363,186.50
6. Step 6: Final answer
   x = 506,260.19