Finding the Third Proportional to 78,367 and 114,195

Step by Step Solution

1. Step 1: Write the proportion equation
   78,367 : 114,195 = 114,195 : x
2. Step 2: Convert to fraction form
   78,367/114,195 = 114,195/x
3. Step 3: Cross multiply
   78,367x = 114,195 × 114,195
4. Step 4: Simplify right side
   78,367x = 13,040,498,025
5. Step 5: Solve for x
   x = 13,040,498,025/78,367
6. Step 6: Final answer
   x = 166,402.93