Finding the Third Proportional to 78.25 and 122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78.25 : 122.50 = 122.50 : x
2. Step 2: Convert to fraction form
   78.25/122.50 = 122.50/x
3. Step 3: Cross multiply
   78.25x = 122.50 × 122.50
4. Step 4: Simplify right side
   78.25x = 15,006.25
5. Step 5: Solve for x
   x = 15,006.25/78.25
6. Step 6: Final answer
   x = 191.77