Finding the Third Proportional to 53,570 and 116,356

Step by Step Solution

1. Step 1: Write the proportion equation
   53,570 : 116,356 = 116,356 : x
2. Step 2: Convert to fraction form
   53,570/116,356 = 116,356/x
3. Step 3: Cross multiply
   53,570x = 116,356 × 116,356
4. Step 4: Simplify right side
   53,570x = 13,538,718,736
5. Step 5: Solve for x
   x = 13,538,718,736/53,570
6. Step 6: Final answer
   x = 252,729.49