Finding the Third Proportional to 103,686 and 154,815

Step by Step Solution

1. Step 1: Write the proportion equation
   103,686 : 154,815 = 154,815 : x
2. Step 2: Convert to fraction form
   103,686/154,815 = 154,815/x
3. Step 3: Cross multiply
   103,686x = 154,815 × 154,815
4. Step 4: Simplify right side
   103,686x = 23,967,684,225
5. Step 5: Solve for x
   x = 23,967,684,225/103,686
6. Step 6: Final answer
   x = 231,156.42