Finding the Third Proportional to 253,627 and 379,636

Step by Step Solution

1. Step 1: Write the proportion equation
   253,627 : 379,636 = 379,636 : x
2. Step 2: Convert to fraction form
   253,627/379,636 = 379,636/x
3. Step 3: Cross multiply
   253,627x = 379,636 × 379,636
4. Step 4: Simplify right side
   253,627x = 144,123,492,496
5. Step 5: Solve for x
   x = 144,123,492,496/253,627
6. Step 6: Final answer
   x = 568,249.80