Finding the Third Proportional to 123,202 and 264,809

Step by Step Solution

1. Step 1: Write the proportion equation
   123,202 : 264,809 = 264,809 : x
2. Step 2: Convert to fraction form
   123,202/264,809 = 264,809/x
3. Step 3: Cross multiply
   123,202x = 264,809 × 264,809
4. Step 4: Simplify right side
   123,202x = 70,123,806,481
5. Step 5: Solve for x
   x = 70,123,806,481/123,202
6. Step 6: Final answer
   x = 569,177.50