Finding the Third Proportional to 53,235 and 116,406

Step by Step Solution

1. Step 1: Write the proportion equation
   53,235 : 116,406 = 116,406 : x
2. Step 2: Convert to fraction form
   53,235/116,406 = 116,406/x
3. Step 3: Cross multiply
   53,235x = 116,406 × 116,406
4. Step 4: Simplify right side
   53,235x = 13,550,356,836
5. Step 5: Solve for x
   x = 13,550,356,836/53,235
6. Step 6: Final answer
   x = 254,538.50