Finding the Third Proportional to 77.38 and 181.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77.38 : 181.25 = 181.25 : x
2. Step 2: Convert to fraction form
   77.38/181.25 = 181.25/x
3. Step 3: Cross multiply
   77.38x = 181.25 × 181.25
4. Step 4: Simplify right side
   77.38x = 32,851.56
5. Step 5: Solve for x
   x = 32,851.56/77.38
6. Step 6: Final answer
   x = 424.58