Finding the Third Proportional to 116,197 and 254,506

Step by Step Solution

1. Step 1: Write the proportion equation
   116,197 : 254,506 = 254,506 : x
2. Step 2: Convert to fraction form
   116,197/254,506 = 254,506/x
3. Step 3: Cross multiply
   116,197x = 254,506 × 254,506
4. Step 4: Simplify right side
   116,197x = 64,773,304,036
5. Step 5: Solve for x
   x = 64,773,304,036/116,197
6. Step 6: Final answer
   x = 557,443.86