Finding the Third Proportional to 106,967 and 166,300

Step by Step Solution

1. Step 1: Write the proportion equation
   106,967 : 166,300 = 166,300 : x
2. Step 2: Convert to fraction form
   106,967/166,300 = 166,300/x
3. Step 3: Cross multiply
   106,967x = 166,300 × 166,300
4. Step 4: Simplify right side
   106,967x = 27,655,690,000
5. Step 5: Solve for x
   x = 27,655,690,000/106,967
6. Step 6: Final answer
   x = 258,544.13