Finding the Third Proportional to 78,792 and 117,911.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,792 : 117,911.25 = 117,911.25 : x
2. Step 2: Convert to fraction form
   78,792/117,911.25 = 117,911.25/x
3. Step 3: Cross multiply
   78,792x = 117,911.25 × 117,911.25
4. Step 4: Simplify right side
   78,792x = 13,903,062,876.56
5. Step 5: Solve for x
   x = 13,903,062,876.56/78,792
6. Step 6: Final answer
   x = 176,452.72