Finding the Third Proportional to 114,757.50 and 175,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,757.50 : 175,423.50 = 175,423.50 : x
2. Step 2: Convert to fraction form
   114,757.50/175,423.50 = 175,423.50/x
3. Step 3: Cross multiply
   114,757.50x = 175,423.50 × 175,423.50
4. Step 4: Simplify right side
   114,757.50x = 30,773,404,352.25
5. Step 5: Solve for x
   x = 30,773,404,352.25/114,757.50
6. Step 6: Final answer
   x = 268,160.29