Finding the Third Proportional to 78,483.50 and 114,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,483.50 : 114,078.50 = 114,078.50 : x
2. Step 2: Convert to fraction form
   78,483.50/114,078.50 = 114,078.50/x
3. Step 3: Cross multiply
   78,483.50x = 114,078.50 × 114,078.50
4. Step 4: Simplify right side
   78,483.50x = 13,013,904,162.25
5. Step 5: Solve for x
   x = 13,013,904,162.25/78,483.50
6. Step 6: Final answer
   x = 165,817.07