Finding the Third Proportional to 114,596.50 and 174,861

Step by Step Solution

1. Step 1: Write the proportion equation
   114,596.50 : 174,861 = 174,861 : x
2. Step 2: Convert to fraction form
   114,596.50/174,861 = 174,861/x
3. Step 3: Cross multiply
   114,596.50x = 174,861 × 174,861
4. Step 4: Simplify right side
   114,596.50x = 30,576,369,321
5. Step 5: Solve for x
   x = 30,576,369,321/114,596.50
6. Step 6: Final answer
   x = 266,817.65