Finding the Third Proportional to 116,426 and 254,647

Step by Step Solution

1. Step 1: Write the proportion equation
   116,426 : 254,647 = 254,647 : x
2. Step 2: Convert to fraction form
   116,426/254,647 = 254,647/x
3. Step 3: Cross multiply
   116,426x = 254,647 × 254,647
4. Step 4: Simplify right side
   116,426x = 64,845,094,609
5. Step 5: Solve for x
   x = 64,845,094,609/116,426
6. Step 6: Final answer
   x = 556,964.03