Finding the Third Proportional to 58.50 and 143.06

Step by Step Solution

1. Step 1: Write the proportion equation
   58.50 : 143.06 = 143.06 : x
2. Step 2: Convert to fraction form
   58.50/143.06 = 143.06/x
3. Step 3: Cross multiply
   58.50x = 143.06 × 143.06
4. Step 4: Simplify right side
   58.50x = 20,466.88
5. Step 5: Solve for x
   x = 20,466.88/58.50
6. Step 6: Final answer
   x = 349.86