Finding the Third Proportional to 57.63 and 123.13

Step by Step Solution

1. Step 1: Write the proportion equation
   57.63 : 123.13 = 123.13 : x
2. Step 2: Convert to fraction form
   57.63/123.13 = 123.13/x
3. Step 3: Cross multiply
   57.63x = 123.13 × 123.13
4. Step 4: Simplify right side
   57.63x = 15,159.77
5. Step 5: Solve for x
   x = 15,159.77/57.63
6. Step 6: Final answer
   x = 263.08