Finding the Third Proportional to 123.05 and 263.46

Step by Step Solution

1. Step 1: Write the proportion equation
   123.05 : 263.46 = 263.46 : x
2. Step 2: Convert to fraction form
   123.05/263.46 = 263.46/x
3. Step 3: Cross multiply
   123.05x = 263.46 × 263.46
4. Step 4: Simplify right side
   123.05x = 69,411.67
5. Step 5: Solve for x
   x = 69,411.67/123.05
6. Step 6: Final answer
   x = 564.11