Finding the Third Proportional to 156.25 and 338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   156.25 : 338.50 = 338.50 : x
2. Step 2: Convert to fraction form
   156.25/338.50 = 338.50/x
3. Step 3: Cross multiply
   156.25x = 338.50 × 338.50
4. Step 4: Simplify right side
   156.25x = 114,582.25
5. Step 5: Solve for x
   x = 114,582.25/156.25
6. Step 6: Final answer
   x = 733.33