Finding the Third Proportional to 105,077.25 and 161,514

Step by Step Solution

1. Step 1: Write the proportion equation
   105,077.25 : 161,514 = 161,514 : x
2. Step 2: Convert to fraction form
   105,077.25/161,514 = 161,514/x
3. Step 3: Cross multiply
   105,077.25x = 161,514 × 161,514
4. Step 4: Simplify right side
   105,077.25x = 26,086,772,196
5. Step 5: Solve for x
   x = 26,086,772,196/105,077.25
6. Step 6: Final answer
   x = 248,262.80