Finding the Third Proportional to 116,523 and 254,997

Step by Step Solution

1. Step 1: Write the proportion equation
   116,523 : 254,997 = 254,997 : x
2. Step 2: Convert to fraction form
   116,523/254,997 = 254,997/x
3. Step 3: Cross multiply
   116,523x = 254,997 × 254,997
4. Step 4: Simplify right side
   116,523x = 65,023,470,009
5. Step 5: Solve for x
   x = 65,023,470,009/116,523
6. Step 6: Final answer
   x = 558,031.20