Finding the Third Proportional to 123.75 and 181.83

Step by Step Solution

1. Step 1: Write the proportion equation
   123.75 : 181.83 = 181.83 : x
2. Step 2: Convert to fraction form
   123.75/181.83 = 181.83/x
3. Step 3: Cross multiply
   123.75x = 181.83 × 181.83
4. Step 4: Simplify right side
   123.75x = 33,061.47
5. Step 5: Solve for x
   x = 33,061.47/123.75
6. Step 6: Final answer
   x = 267.16