Finding the Third Proportional to 106,314 and 164,496

Step by Step Solution

1. Step 1: Write the proportion equation
   106,314 : 164,496 = 164,496 : x
2. Step 2: Convert to fraction form
   106,314/164,496 = 164,496/x
3. Step 3: Cross multiply
   106,314x = 164,496 × 164,496
4. Step 4: Simplify right side
   106,314x = 27,058,934,016
5. Step 5: Solve for x
   x = 27,058,934,016/106,314
6. Step 6: Final answer
   x = 254,519.01