Finding the Third Proportional to 103,632 and 160,505

Step by Step Solution

1. Step 1: Write the proportion equation
   103,632 : 160,505 = 160,505 : x
2. Step 2: Convert to fraction form
   103,632/160,505 = 160,505/x
3. Step 3: Cross multiply
   103,632x = 160,505 × 160,505
4. Step 4: Simplify right side
   103,632x = 25,761,855,025
5. Step 5: Solve for x
   x = 25,761,855,025/103,632
6. Step 6: Final answer
   x = 248,589.77