Finding the Third Proportional to 114,309 and 174,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,309 : 174,757.50 = 174,757.50 : x
2. Step 2: Convert to fraction form
   114,309/174,757.50 = 174,757.50/x
3. Step 3: Cross multiply
   114,309x = 174,757.50 × 174,757.50
4. Step 4: Simplify right side
   114,309x = 30,540,183,806.25
5. Step 5: Solve for x
   x = 30,540,183,806.25/114,309
6. Step 6: Final answer
   x = 267,172.17