Finding the Third Proportional to 78,800 and 117,928

Step by Step Solution

1. Step 1: Write the proportion equation
   78,800 : 117,928 = 117,928 : x
2. Step 2: Convert to fraction form
   78,800/117,928 = 117,928/x
3. Step 3: Cross multiply
   78,800x = 117,928 × 117,928
4. Step 4: Simplify right side
   78,800x = 13,907,013,184
5. Step 5: Solve for x
   x = 13,907,013,184/78,800
6. Step 6: Final answer
   x = 176,484.94