Finding the Third Proportional to 362,567 and 509,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   362,567 : 509,665.50 = 509,665.50 : x
2. Step 2: Convert to fraction form
   362,567/509,665.50 = 509,665.50/x
3. Step 3: Cross multiply
   362,567x = 509,665.50 × 509,665.50
4. Step 4: Simplify right side
   362,567x = 259,758,921,890.25
5. Step 5: Solve for x
   x = 259,758,921,890.25/362,567
6. Step 6: Final answer
   x = 716,443.92