Finding the Third Proportional to 105,253 and 164,920

Step by Step Solution

1. Step 1: Write the proportion equation
   105,253 : 164,920 = 164,920 : x
2. Step 2: Convert to fraction form
   105,253/164,920 = 164,920/x
3. Step 3: Cross multiply
   105,253x = 164,920 × 164,920
4. Step 4: Simplify right side
   105,253x = 27,198,606,400
5. Step 5: Solve for x
   x = 27,198,606,400/105,253
6. Step 6: Final answer
   x = 258,411.70