Finding the Third Proportional to 105,416 and 230,496

Step by Step Solution

1. Step 1: Write the proportion equation
   105,416 : 230,496 = 230,496 : x
2. Step 2: Convert to fraction form
   105,416/230,496 = 230,496/x
3. Step 3: Cross multiply
   105,416x = 230,496 × 230,496
4. Step 4: Simplify right side
   105,416x = 53,128,406,016
5. Step 5: Solve for x
   x = 53,128,406,016/105,416
6. Step 6: Final answer
   x = 503,988.07