Finding the Third Proportional to 102,717 and 154,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,717 : 154,399.50 = 154,399.50 : x
2. Step 2: Convert to fraction form
   102,717/154,399.50 = 154,399.50/x
3. Step 3: Cross multiply
   102,717x = 154,399.50 × 154,399.50
4. Step 4: Simplify right side
   102,717x = 23,839,205,600.25
5. Step 5: Solve for x
   x = 23,839,205,600.25/102,717
6. Step 6: Final answer
   x = 232,086.27