Finding the Third Proportional to 78,679.50 and 118,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,679.50 : 118,675.50 = 118,675.50 : x
2. Step 2: Convert to fraction form
   78,679.50/118,675.50 = 118,675.50/x
3. Step 3: Cross multiply
   78,679.50x = 118,675.50 × 118,675.50
4. Step 4: Simplify right side
   78,679.50x = 14,083,874,300.25
5. Step 5: Solve for x
   x = 14,083,874,300.25/78,679.50
6. Step 6: Final answer
   x = 179,003.10