Finding the Third Proportional to 109,622 and 164,434

Step by Step Solution

1. Step 1: Write the proportion equation
   109,622 : 164,434 = 164,434 : x
2. Step 2: Convert to fraction form
   109,622/164,434 = 164,434/x
3. Step 3: Cross multiply
   109,622x = 164,434 × 164,434
4. Step 4: Simplify right side
   109,622x = 27,038,540,356
5. Step 5: Solve for x
   x = 27,038,540,356/109,622
6. Step 6: Final answer
   x = 246,652.50