Finding the Third Proportional to 362,559 and 509,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   362,559 : 509,656.50 = 509,656.50 : x
2. Step 2: Convert to fraction form
   362,559/509,656.50 = 509,656.50/x
3. Step 3: Cross multiply
   362,559x = 509,656.50 × 509,656.50
4. Step 4: Simplify right side
   362,559x = 259,749,747,992.25
5. Step 5: Solve for x
   x = 259,749,747,992.25/362,559
6. Step 6: Final answer
   x = 716,434.42