Finding the Third Proportional to 78.25 and 131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78.25 : 131.50 = 131.50 : x
2. Step 2: Convert to fraction form
   78.25/131.50 = 131.50/x
3. Step 3: Cross multiply
   78.25x = 131.50 × 131.50
4. Step 4: Simplify right side
   78.25x = 17,292.25
5. Step 5: Solve for x
   x = 17,292.25/78.25
6. Step 6: Final answer
   x = 220.99