Finding the Third Proportional to 78,675.25 and 118,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,675.25 : 118,665.50 = 118,665.50 : x
2. Step 2: Convert to fraction form
   78,675.25/118,665.50 = 118,665.50/x
3. Step 3: Cross multiply
   78,675.25x = 118,665.50 × 118,665.50
4. Step 4: Simplify right side
   78,675.25x = 14,081,500,890.25
5. Step 5: Solve for x
   x = 14,081,500,890.25/78,675.25
6. Step 6: Final answer
   x = 178,982.60