Finding the Third Proportional to 123,624 and 174,636

Step by Step Solution

1. Step 1: Write the proportion equation
   123,624 : 174,636 = 174,636 : x
2. Step 2: Convert to fraction form
   123,624/174,636 = 174,636/x
3. Step 3: Cross multiply
   123,624x = 174,636 × 174,636
4. Step 4: Simplify right side
   123,624x = 30,497,732,496
5. Step 5: Solve for x
   x = 30,497,732,496/123,624
6. Step 6: Final answer
   x = 246,697.51