Finding the Third Proportional to 102,967 and 164,443

Step by Step Solution

1. Step 1: Write the proportion equation
   102,967 : 164,443 = 164,443 : x
2. Step 2: Convert to fraction form
   102,967/164,443 = 164,443/x
3. Step 3: Cross multiply
   102,967x = 164,443 × 164,443
4. Step 4: Simplify right side
   102,967x = 27,041,500,249
5. Step 5: Solve for x
   x = 27,041,500,249/102,967
6. Step 6: Final answer
   x = 262,622.98