Finding the Third Proportional to 325,609.50 and 509,262

Step by Step Solution

1. Step 1: Write the proportion equation
   325,609.50 : 509,262 = 509,262 : x
2. Step 2: Convert to fraction form
   325,609.50/509,262 = 509,262/x
3. Step 3: Cross multiply
   325,609.50x = 509,262 × 509,262
4. Step 4: Simplify right side
   325,609.50x = 259,347,784,644
5. Step 5: Solve for x
   x = 259,347,784,644/325,609.50
6. Step 6: Final answer
   x = 796,499.44