Finding the Third Proportional to 207,522 and 320,496.75

Step by Step Solution

1. Step 1: Write the proportion equation
   207,522 : 320,496.75 = 320,496.75 : x
2. Step 2: Convert to fraction form
   207,522/320,496.75 = 320,496.75/x
3. Step 3: Cross multiply
   207,522x = 320,496.75 × 320,496.75
4. Step 4: Simplify right side
   207,522x = 102,718,166,760.56
5. Step 5: Solve for x
   x = 102,718,166,760.56/207,522
6. Step 6: Final answer
   x = 494,974.83