Finding the Third Proportional to 111,422 and 164,671

Step by Step Solution

1. Step 1: Write the proportion equation
   111,422 : 164,671 = 164,671 : x
2. Step 2: Convert to fraction form
   111,422/164,671 = 164,671/x
3. Step 3: Cross multiply
   111,422x = 164,671 × 164,671
4. Step 4: Simplify right side
   111,422x = 27,116,538,241
5. Step 5: Solve for x
   x = 27,116,538,241/111,422
6. Step 6: Final answer
   x = 243,367.90