Finding the Third Proportional to 103,636 and 160,036

Step by Step Solution

1. Step 1: Write the proportion equation
   103,636 : 160,036 = 160,036 : x
2. Step 2: Convert to fraction form
   103,636/160,036 = 160,036/x
3. Step 3: Cross multiply
   103,636x = 160,036 × 160,036
4. Step 4: Simplify right side
   103,636x = 25,611,521,296
5. Step 5: Solve for x
   x = 25,611,521,296/103,636
6. Step 6: Final answer
   x = 247,129.58