Finding the Third Proportional to 78,408.50 and 117,790

Step by Step Solution

1. Step 1: Write the proportion equation
   78,408.50 : 117,790 = 117,790 : x
2. Step 2: Convert to fraction form
   78,408.50/117,790 = 117,790/x
3. Step 3: Cross multiply
   78,408.50x = 117,790 × 117,790
4. Step 4: Simplify right side
   78,408.50x = 13,874,484,100
5. Step 5: Solve for x
   x = 13,874,484,100/78,408.50
6. Step 6: Final answer
   x = 176,951.28