Finding the Third Proportional to 107,792 and 230,240

Step by Step Solution

1. Step 1: Write the proportion equation
   107,792 : 230,240 = 230,240 : x
2. Step 2: Convert to fraction form
   107,792/230,240 = 230,240/x
3. Step 3: Cross multiply
   107,792x = 230,240 × 230,240
4. Step 4: Simplify right side
   107,792x = 53,010,457,600
5. Step 5: Solve for x
   x = 53,010,457,600/107,792
6. Step 6: Final answer
   x = 491,784.71