Finding the Third Proportional to 109,614 and 164,422

Step by Step Solution

1. Step 1: Write the proportion equation
   109,614 : 164,422 = 164,422 : x
2. Step 2: Convert to fraction form
   109,614/164,422 = 164,422/x
3. Step 3: Cross multiply
   109,614x = 164,422 × 164,422
4. Step 4: Simplify right side
   109,614x = 27,034,594,084
5. Step 5: Solve for x
   x = 27,034,594,084/109,614
6. Step 6: Final answer
   x = 246,634.50