Finding the Third Proportional to 111,790 and 166,168

Step by Step Solution

1. Step 1: Write the proportion equation
   111,790 : 166,168 = 166,168 : x
2. Step 2: Convert to fraction form
   111,790/166,168 = 166,168/x
3. Step 3: Cross multiply
   111,790x = 166,168 × 166,168
4. Step 4: Simplify right side
   111,790x = 27,611,804,224
5. Step 5: Solve for x
   x = 27,611,804,224/111,790
6. Step 6: Final answer
   x = 246,997.09