Finding the Third Proportional to 136.50 and 146.63

Step by Step Solution

1. Step 1: Write the proportion equation
   136.50 : 146.63 = 146.63 : x
2. Step 2: Convert to fraction form
   136.50/146.63 = 146.63/x
3. Step 3: Cross multiply
   136.50x = 146.63 × 146.63
4. Step 4: Simplify right side
   136.50x = 21,498.89
5. Step 5: Solve for x
   x = 21,498.89/136.50
6. Step 6: Final answer
   x = 157.50