Finding the Third Proportional to 114,405 and 175,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,405 : 175,012.50 = 175,012.50 : x
2. Step 2: Convert to fraction form
   114,405/175,012.50 = 175,012.50/x
3. Step 3: Cross multiply
   114,405x = 175,012.50 × 175,012.50
4. Step 4: Simplify right side
   114,405x = 30,629,375,156.25
5. Step 5: Solve for x
   x = 30,629,375,156.25/114,405
6. Step 6: Final answer
   x = 267,727.59