Finding the Third Proportional to 116,309 and 174,459

Step by Step Solution

1. Step 1: Write the proportion equation
   116,309 : 174,459 = 174,459 : x
2. Step 2: Convert to fraction form
   116,309/174,459 = 174,459/x
3. Step 3: Cross multiply
   116,309x = 174,459 × 174,459
4. Step 4: Simplify right side
   116,309x = 30,435,942,681
5. Step 5: Solve for x
   x = 30,435,942,681/116,309
6. Step 6: Final answer
   x = 261,681.75