Finding the Third Proportional to 116,401 and 254,672

Step by Step Solution

1. Step 1: Write the proportion equation
   116,401 : 254,672 = 254,672 : x
2. Step 2: Convert to fraction form
   116,401/254,672 = 254,672/x
3. Step 3: Cross multiply
   116,401x = 254,672 × 254,672
4. Step 4: Simplify right side
   116,401x = 64,857,827,584
5. Step 5: Solve for x
   x = 64,857,827,584/116,401
6. Step 6: Final answer
   x = 557,193.04