Finding the Third Proportional to 116,266 and 251,116

Step by Step Solution

1. Step 1: Write the proportion equation
   116,266 : 251,116 = 251,116 : x
2. Step 2: Convert to fraction form
   116,266/251,116 = 251,116/x
3. Step 3: Cross multiply
   116,266x = 251,116 × 251,116
4. Step 4: Simplify right side
   116,266x = 63,059,245,456
5. Step 5: Solve for x
   x = 63,059,245,456/116,266
6. Step 6: Final answer
   x = 542,370.47