Finding the Third Proportional to 42,624 and 92,496

Step by Step Solution

1. Step 1: Write the proportion equation
   42,624 : 92,496 = 92,496 : x
2. Step 2: Convert to fraction form
   42,624/92,496 = 92,496/x
3. Step 3: Cross multiply
   42,624x = 92,496 × 92,496
4. Step 4: Simplify right side
   42,624x = 8,555,510,016
5. Step 5: Solve for x
   x = 8,555,510,016/42,624
6. Step 6: Final answer
   x = 200,720.49