Finding the Third Proportional to 78,768.50 and 117,638.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,768.50 : 117,638.25 = 117,638.25 : x
2. Step 2: Convert to fraction form
   78,768.50/117,638.25 = 117,638.25/x
3. Step 3: Cross multiply
   78,768.50x = 117,638.25 × 117,638.25
4. Step 4: Simplify right side
   78,768.50x = 13,838,757,863.06
5. Step 5: Solve for x
   x = 13,838,757,863.06/78,768.50
6. Step 6: Final answer
   x = 175,688.99