Finding the Third Proportional to 105,268.50 and 161,807

Step by Step Solution

1. Step 1: Write the proportion equation
   105,268.50 : 161,807 = 161,807 : x
2. Step 2: Convert to fraction form
   105,268.50/161,807 = 161,807/x
3. Step 3: Cross multiply
   105,268.50x = 161,807 × 161,807
4. Step 4: Simplify right side
   105,268.50x = 26,181,505,249
5. Step 5: Solve for x
   x = 26,181,505,249/105,268.50
6. Step 6: Final answer
   x = 248,711.68