Finding the Third Proportional to 100,399.50 and 161,454

Step by Step Solution

1. Step 1: Write the proportion equation
   100,399.50 : 161,454 = 161,454 : x
2. Step 2: Convert to fraction form
   100,399.50/161,454 = 161,454/x
3. Step 3: Cross multiply
   100,399.50x = 161,454 × 161,454
4. Step 4: Simplify right side
   100,399.50x = 26,067,394,116
5. Step 5: Solve for x
   x = 26,067,394,116/100,399.50
6. Step 6: Final answer
   x = 259,636.69