Finding the Third Proportional to 142.50 and 314.06

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 314.06 = 314.06 : x
2. Step 2: Convert to fraction form
   142.50/314.06 = 314.06/x
3. Step 3: Cross multiply
   142.50x = 314.06 × 314.06
4. Step 4: Simplify right side
   142.50x = 98,635.25
5. Step 5: Solve for x
   x = 98,635.25/142.50
6. Step 6: Final answer
   x = 692.18