Finding the Third Proportional to 78,792 and 117,036

Step by Step Solution

1. Step 1: Write the proportion equation
   78,792 : 117,036 = 117,036 : x
2. Step 2: Convert to fraction form
   78,792/117,036 = 117,036/x
3. Step 3: Cross multiply
   78,792x = 117,036 × 117,036
4. Step 4: Simplify right side
   78,792x = 13,697,425,296
5. Step 5: Solve for x
   x = 13,697,425,296/78,792
6. Step 6: Final answer
   x = 173,842.84