Finding the Third Proportional to 78,002 and 114,078

Step by Step Solution

1. Step 1: Write the proportion equation
   78,002 : 114,078 = 114,078 : x
2. Step 2: Convert to fraction form
   78,002/114,078 = 114,078/x
3. Step 3: Cross multiply
   78,002x = 114,078 × 114,078
4. Step 4: Simplify right side
   78,002x = 13,013,790,084
5. Step 5: Solve for x
   x = 13,013,790,084/78,002
6. Step 6: Final answer
   x = 166,839.18