Finding the Third Proportional to 114,538.50 and 174,766

Step by Step Solution

1. Step 1: Write the proportion equation
   114,538.50 : 174,766 = 174,766 : x
2. Step 2: Convert to fraction form
   114,538.50/174,766 = 174,766/x
3. Step 3: Cross multiply
   114,538.50x = 174,766 × 174,766
4. Step 4: Simplify right side
   114,538.50x = 30,543,154,756
5. Step 5: Solve for x
   x = 30,543,154,756/114,538.50
6. Step 6: Final answer
   x = 266,662.78