Finding the Third Proportional to 72,495 and 174,636

Step by Step Solution

1. Step 1: Write the proportion equation
   72,495 : 174,636 = 174,636 : x
2. Step 2: Convert to fraction form
   72,495/174,636 = 174,636/x
3. Step 3: Cross multiply
   72,495x = 174,636 × 174,636
4. Step 4: Simplify right side
   72,495x = 30,497,732,496
5. Step 5: Solve for x
   x = 30,497,732,496/72,495
6. Step 6: Final answer
   x = 420,687.39