Finding the Third Proportional to 116,836 and 175,056

Step by Step Solution

1. Step 1: Write the proportion equation
   116,836 : 175,056 = 175,056 : x
2. Step 2: Convert to fraction form
   116,836/175,056 = 175,056/x
3. Step 3: Cross multiply
   116,836x = 175,056 × 175,056
4. Step 4: Simplify right side
   116,836x = 30,644,603,136
5. Step 5: Solve for x
   x = 30,644,603,136/116,836
6. Step 6: Final answer
   x = 262,287.34