Finding the Third Proportional to 116,092 and 254,056

Step by Step Solution

1. Step 1: Write the proportion equation
   116,092 : 254,056 = 254,056 : x
2. Step 2: Convert to fraction form
   116,092/254,056 = 254,056/x
3. Step 3: Cross multiply
   116,092x = 254,056 × 254,056
4. Step 4: Simplify right side
   116,092x = 64,544,451,136
5. Step 5: Solve for x
   x = 64,544,451,136/116,092
6. Step 6: Final answer
   x = 555,976.74