Finding the Third Proportional to 136.50 and 215.88

Step by Step Solution

1. Step 1: Write the proportion equation
   136.50 : 215.88 = 215.88 : x
2. Step 2: Convert to fraction form
   136.50/215.88 = 215.88/x
3. Step 3: Cross multiply
   136.50x = 215.88 × 215.88
4. Step 4: Simplify right side
   136.50x = 46,602.02
5. Step 5: Solve for x
   x = 46,602.02/136.50
6. Step 6: Final answer
   x = 341.41