Finding the Third Proportional to 116,137 and 254,417

Step by Step Solution

1. Step 1: Write the proportion equation
   116,137 : 254,417 = 254,417 : x
2. Step 2: Convert to fraction form
   116,137/254,417 = 254,417/x
3. Step 3: Cross multiply
   116,137x = 254,417 × 254,417
4. Step 4: Simplify right side
   116,137x = 64,728,009,889
5. Step 5: Solve for x
   x = 64,728,009,889/116,137
6. Step 6: Final answer
   x = 557,341.85