Finding the Third Proportional to 53.63 and 118.13

Step by Step Solution

1. Step 1: Write the proportion equation
   53.63 : 118.13 = 118.13 : x
2. Step 2: Convert to fraction form
   53.63/118.13 = 118.13/x
3. Step 3: Cross multiply
   53.63x = 118.13 × 118.13
4. Step 4: Simplify right side
   53.63x = 13,953.52
5. Step 5: Solve for x
   x = 13,953.52/53.63
6. Step 6: Final answer
   x = 260.21