Finding the Third Proportional to 116,493 and 254,796

Step by Step Solution

1. Step 1: Write the proportion equation
   116,493 : 254,796 = 254,796 : x
2. Step 2: Convert to fraction form
   116,493/254,796 = 254,796/x
3. Step 3: Cross multiply
   116,493x = 254,796 × 254,796
4. Step 4: Simplify right side
   116,493x = 64,921,001,616
5. Step 5: Solve for x
   x = 64,921,001,616/116,493
6. Step 6: Final answer
   x = 557,295.30