Finding the Third Proportional to 105,553 and 165,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,553 : 165,241.50 = 165,241.50 : x
2. Step 2: Convert to fraction form
   105,553/165,241.50 = 165,241.50/x
3. Step 3: Cross multiply
   105,553x = 165,241.50 × 165,241.50
4. Step 4: Simplify right side
   105,553x = 27,304,753,322.25
5. Step 5: Solve for x
   x = 27,304,753,322.25/105,553
6. Step 6: Final answer
   x = 258,682.87