Finding the Third Proportional to 80,494 and 116,095

Step by Step Solution

1. Step 1: Write the proportion equation
   80,494 : 116,095 = 116,095 : x
2. Step 2: Convert to fraction form
   80,494/116,095 = 116,095/x
3. Step 3: Cross multiply
   80,494x = 116,095 × 116,095
4. Step 4: Simplify right side
   80,494x = 13,478,049,025
5. Step 5: Solve for x
   x = 13,478,049,025/80,494
6. Step 6: Final answer
   x = 167,441.66