Finding the Third Proportional to 53,616 and 117,600

Step by Step Solution

1. Step 1: Write the proportion equation
   53,616 : 117,600 = 117,600 : x
2. Step 2: Convert to fraction form
   53,616/117,600 = 117,600/x
3. Step 3: Cross multiply
   53,616x = 117,600 × 117,600
4. Step 4: Simplify right side
   53,616x = 13,829,760,000
5. Step 5: Solve for x
   x = 13,829,760,000/53,616
6. Step 6: Final answer
   x = 257,940.91