Finding the Third Proportional to 116,164 and 254,462

Step by Step Solution

1. Step 1: Write the proportion equation
   116,164 : 254,462 = 254,462 : x
2. Step 2: Convert to fraction form
   116,164/254,462 = 254,462/x
3. Step 3: Cross multiply
   116,164x = 254,462 × 254,462
4. Step 4: Simplify right side
   116,164x = 64,750,909,444
5. Step 5: Solve for x
   x = 64,750,909,444/116,164
6. Step 6: Final answer
   x = 557,409.43