Finding the Third Proportional to 103,628 and 160,499

Step by Step Solution

1. Step 1: Write the proportion equation
   103,628 : 160,499 = 160,499 : x
2. Step 2: Convert to fraction form
   103,628/160,499 = 160,499/x
3. Step 3: Cross multiply
   103,628x = 160,499 × 160,499
4. Step 4: Simplify right side
   103,628x = 25,759,929,001
5. Step 5: Solve for x
   x = 25,759,929,001/103,628
6. Step 6: Final answer
   x = 248,580.78