Finding the Third Proportional to 108,880.50 and 171,096.75

Step by Step Solution

1. Step 1: Write the proportion equation
   108,880.50 : 171,096.75 = 171,096.75 : x
2. Step 2: Convert to fraction form
   108,880.50/171,096.75 = 171,096.75/x
3. Step 3: Cross multiply
   108,880.50x = 171,096.75 × 171,096.75
4. Step 4: Simplify right side
   108,880.50x = 29,274,097,860.56
5. Step 5: Solve for x
   x = 29,274,097,860.56/108,880.50
6. Step 6: Final answer
   x = 268,864.47