Finding the Third Proportional to 103,824 and 162,650.25

Step by Step Solution

1. Step 1: Write the proportion equation
   103,824 : 162,650.25 = 162,650.25 : x
2. Step 2: Convert to fraction form
   103,824/162,650.25 = 162,650.25/x
3. Step 3: Cross multiply
   103,824x = 162,650.25 × 162,650.25
4. Step 4: Simplify right side
   103,824x = 26,455,103,825.06
5. Step 5: Solve for x
   x = 26,455,103,825.06/103,824
6. Step 6: Final answer
   x = 254,807.21