Finding the Third Proportional to 362,563 and 509,662

Step by Step Solution

1. Step 1: Write the proportion equation
   362,563 : 509,662 = 509,662 : x
2. Step 2: Convert to fraction form
   362,563/509,662 = 509,662/x
3. Step 3: Cross multiply
   362,563x = 509,662 × 509,662
4. Step 4: Simplify right side
   362,563x = 259,755,354,244
5. Step 5: Solve for x
   x = 259,755,354,244/362,563
6. Step 6: Final answer
   x = 716,441.98