Finding the Third Proportional to 156.50 and 338.88

Step by Step Solution

1. Step 1: Write the proportion equation
   156.50 : 338.88 = 338.88 : x
2. Step 2: Convert to fraction form
   156.50/338.88 = 338.88/x
3. Step 3: Cross multiply
   156.50x = 338.88 × 338.88
4. Step 4: Simplify right side
   156.50x = 114,836.27
5. Step 5: Solve for x
   x = 114,836.27/156.50
6. Step 6: Final answer
   x = 733.78