Finding the Third Proportional to 69.50 and 185.75

Step by Step Solution

1. Step 1: Write the proportion equation
   69.50 : 185.75 = 185.75 : x
2. Step 2: Convert to fraction form
   69.50/185.75 = 185.75/x
3. Step 3: Cross multiply
   69.50x = 185.75 × 185.75
4. Step 4: Simplify right side
   69.50x = 34,503.06
5. Step 5: Solve for x
   x = 34,503.06/69.50
6. Step 6: Final answer
   x = 496.45