Finding the Third Proportional to 53,816 and 116,168

Step by Step Solution

1. Step 1: Write the proportion equation
   53,816 : 116,168 = 116,168 : x
2. Step 2: Convert to fraction form
   53,816/116,168 = 116,168/x
3. Step 3: Cross multiply
   53,816x = 116,168 × 116,168
4. Step 4: Simplify right side
   53,816x = 13,495,004,224
5. Step 5: Solve for x
   x = 13,495,004,224/53,816
6. Step 6: Final answer
   x = 250,761.93