Finding the Third Proportional to 80,678 and 116,035

Step by Step Solution

1. Step 1: Write the proportion equation
   80,678 : 116,035 = 116,035 : x
2. Step 2: Convert to fraction form
   80,678/116,035 = 116,035/x
3. Step 3: Cross multiply
   80,678x = 116,035 × 116,035
4. Step 4: Simplify right side
   80,678x = 13,464,121,225
5. Step 5: Solve for x
   x = 13,464,121,225/80,678
6. Step 6: Final answer
   x = 166,887.15