Finding the Third Proportional to 105,354 and 165,090.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,354 : 165,090.75 = 165,090.75 : x
2. Step 2: Convert to fraction form
   105,354/165,090.75 = 165,090.75/x
3. Step 3: Cross multiply
   105,354x = 165,090.75 × 165,090.75
4. Step 4: Simplify right side
   105,354x = 27,254,955,735.56
5. Step 5: Solve for x
   x = 27,254,955,735.56/105,354
6. Step 6: Final answer
   x = 258,698.82