Finding the Third Proportional to 78,769.50 and 116,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,769.50 : 116,917.50 = 116,917.50 : x
2. Step 2: Convert to fraction form
   78,769.50/116,917.50 = 116,917.50/x
3. Step 3: Cross multiply
   78,769.50x = 116,917.50 × 116,917.50
4. Step 4: Simplify right side
   78,769.50x = 13,669,701,806.25
5. Step 5: Solve for x
   x = 13,669,701,806.25/78,769.50
6. Step 6: Final answer
   x = 173,540.54