Finding the Third Proportional to 53,558 and 116,648

Step by Step Solution

1. Step 1: Write the proportion equation
   53,558 : 116,648 = 116,648 : x
2. Step 2: Convert to fraction form
   53,558/116,648 = 116,648/x
3. Step 3: Cross multiply
   53,558x = 116,648 × 116,648
4. Step 4: Simplify right side
   53,558x = 13,606,755,904
5. Step 5: Solve for x
   x = 13,606,755,904/53,558
6. Step 6: Final answer
   x = 254,056.46