Finding the Third Proportional to 78,823.50 and 118,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,823.50 : 118,315.50 = 118,315.50 : x
2. Step 2: Convert to fraction form
   78,823.50/118,315.50 = 118,315.50/x
3. Step 3: Cross multiply
   78,823.50x = 118,315.50 × 118,315.50
4. Step 4: Simplify right side
   78,823.50x = 13,998,557,540.25
5. Step 5: Solve for x
   x = 13,998,557,540.25/78,823.50
6. Step 6: Final answer
   x = 177,593.71