Finding the Third Proportional to 116,530 and 254,228

Step by Step Solution

1. Step 1: Write the proportion equation
   116,530 : 254,228 = 254,228 : x
2. Step 2: Convert to fraction form
   116,530/254,228 = 254,228/x
3. Step 3: Cross multiply
   116,530x = 254,228 × 254,228
4. Step 4: Simplify right side
   116,530x = 64,631,875,984
5. Step 5: Solve for x
   x = 64,631,875,984/116,530
6. Step 6: Final answer
   x = 554,637.23