Finding the Third Proportional to 142.50 and 266.63

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 266.63 = 266.63 : x
2. Step 2: Convert to fraction form
   142.50/266.63 = 266.63/x
3. Step 3: Cross multiply
   142.50x = 266.63 × 266.63
4. Step 4: Simplify right side
   142.50x = 71,088.89
5. Step 5: Solve for x
   x = 71,088.89/142.50
6. Step 6: Final answer
   x = 498.87