Finding the Third Proportional to 186.25 and 293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186.25 : 293.50 = 293.50 : x
2. Step 2: Convert to fraction form
   186.25/293.50 = 293.50/x
3. Step 3: Cross multiply
   186.25x = 293.50 × 293.50
4. Step 4: Simplify right side
   186.25x = 86,142.25
5. Step 5: Solve for x
   x = 86,142.25/186.25
6. Step 6: Final answer
   x = 462.51