Finding the Third Proportional to 78,108 and 118,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,108 : 118,257.50 = 118,257.50 : x
2. Step 2: Convert to fraction form
   78,108/118,257.50 = 118,257.50/x
3. Step 3: Cross multiply
   78,108x = 118,257.50 × 118,257.50
4. Step 4: Simplify right side
   78,108x = 13,984,836,306.25
5. Step 5: Solve for x
   x = 13,984,836,306.25/78,108
6. Step 6: Final answer
   x = 179,044.86