Finding the Third Proportional to 116,336 and 251,096

Step by Step Solution

1. Step 1: Write the proportion equation
   116,336 : 251,096 = 251,096 : x
2. Step 2: Convert to fraction form
   116,336/251,096 = 251,096/x
3. Step 3: Cross multiply
   116,336x = 251,096 × 251,096
4. Step 4: Simplify right side
   116,336x = 63,049,201,216
5. Step 5: Solve for x
   x = 63,049,201,216/116,336
6. Step 6: Final answer
   x = 541,957.79