Finding the Third Proportional to 114,477 and 175,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,477 : 175,132.50 = 175,132.50 : x
2. Step 2: Convert to fraction form
   114,477/175,132.50 = 175,132.50/x
3. Step 3: Cross multiply
   114,477x = 175,132.50 × 175,132.50
4. Step 4: Simplify right side
   114,477x = 30,671,392,556.25
5. Step 5: Solve for x
   x = 30,671,392,556.25/114,477
6. Step 6: Final answer
   x = 267,926.24