Finding the Third Proportional to 53.63 and 118.88

Step by Step Solution

1. Step 1: Write the proportion equation
   53.63 : 118.88 = 118.88 : x
2. Step 2: Convert to fraction form
   53.63/118.88 = 118.88/x
3. Step 3: Cross multiply
   53.63x = 118.88 × 118.88
4. Step 4: Simplify right side
   53.63x = 14,131.27
5. Step 5: Solve for x
   x = 14,131.27/53.63
6. Step 6: Final answer
   x = 263.52