Finding the Third Proportional to 103,627 and 160,020

Step by Step Solution

1. Step 1: Write the proportion equation
   103,627 : 160,020 = 160,020 : x
2. Step 2: Convert to fraction form
   103,627/160,020 = 160,020/x
3. Step 3: Cross multiply
   103,627x = 160,020 × 160,020
4. Step 4: Simplify right side
   103,627x = 25,606,400,400
5. Step 5: Solve for x
   x = 25,606,400,400/103,627
6. Step 6: Final answer
   x = 247,101.63