Finding the Third Proportional to 53,600 and 117,568

Step by Step Solution

1. Step 1: Write the proportion equation
   53,600 : 117,568 = 117,568 : x
2. Step 2: Convert to fraction form
   53,600/117,568 = 117,568/x
3. Step 3: Cross multiply
   53,600x = 117,568 × 117,568
4. Step 4: Simplify right side
   53,600x = 13,822,234,624
5. Step 5: Solve for x
   x = 13,822,234,624/53,600
6. Step 6: Final answer
   x = 257,877.51