Finding the Third Proportional to 253,526 and 379,499

Step by Step Solution

1. Step 1: Write the proportion equation
   253,526 : 379,499 = 379,499 : x
2. Step 2: Convert to fraction form
   253,526/379,499 = 379,499/x
3. Step 3: Cross multiply
   253,526x = 379,499 × 379,499
4. Step 4: Simplify right side
   253,526x = 144,019,491,001
5. Step 5: Solve for x
   x = 144,019,491,001/253,526
6. Step 6: Final answer
   x = 568,065.96