Finding the Third Proportional to 105,097.69 and 230,634.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105,097.69 : 230,634.38 = 230,634.38 : x
2. Step 2: Convert to fraction form
   105,097.69/230,634.38 = 230,634.38/x
3. Step 3: Cross multiply
   105,097.69x = 230,634.38 × 230,634.38
4. Step 4: Simplify right side
   105,097.69x = 53,192,214,931.64
5. Step 5: Solve for x
   x = 53,192,214,931.64/105,097.69
6. Step 6: Final answer
   x = 506,121.65