Finding the Third Proportional to 116,576 and 174,865

Step by Step Solution

1. Step 1: Write the proportion equation
   116,576 : 174,865 = 174,865 : x
2. Step 2: Convert to fraction form
   116,576/174,865 = 174,865/x
3. Step 3: Cross multiply
   116,576x = 174,865 × 174,865
4. Step 4: Simplify right side
   116,576x = 30,577,768,225
5. Step 5: Solve for x
   x = 30,577,768,225/116,576
6. Step 6: Final answer
   x = 262,299.00