Finding the Third Proportional to 78,792 and 118,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,792 : 118,243.50 = 118,243.50 : x
2. Step 2: Convert to fraction form
   78,792/118,243.50 = 118,243.50/x
3. Step 3: Cross multiply
   78,792x = 118,243.50 × 118,243.50
4. Step 4: Simplify right side
   78,792x = 13,981,525,292.25
5. Step 5: Solve for x
   x = 13,981,525,292.25/78,792
6. Step 6: Final answer
   x = 177,448.54