Finding the Third Proportional to 53,684 and 116,616

Step by Step Solution

1. Step 1: Write the proportion equation
   53,684 : 116,616 = 116,616 : x
2. Step 2: Convert to fraction form
   53,684/116,616 = 116,616/x
3. Step 3: Cross multiply
   53,684x = 116,616 × 116,616
4. Step 4: Simplify right side
   53,684x = 13,599,291,456
5. Step 5: Solve for x
   x = 13,599,291,456/53,684
6. Step 6: Final answer
   x = 253,321.13