Finding the Third Proportional to 102.34 and 241.52

Step by Step Solution

1. Step 1: Write the proportion equation
   102.34 : 241.52 = 241.52 : x
2. Step 2: Convert to fraction form
   102.34/241.52 = 241.52/x
3. Step 3: Cross multiply
   102.34x = 241.52 × 241.52
4. Step 4: Simplify right side
   102.34x = 58,330.39
5. Step 5: Solve for x
   x = 58,330.39/102.34
6. Step 6: Final answer
   x = 569.98