Finding the Third Proportional to 157.22 and 333.56

Step by Step Solution

1. Step 1: Write the proportion equation
   157.22 : 333.56 = 333.56 : x
2. Step 2: Convert to fraction form
   157.22/333.56 = 333.56/x
3. Step 3: Cross multiply
   157.22x = 333.56 × 333.56
4. Step 4: Simplify right side
   157.22x = 111,263.94
5. Step 5: Solve for x
   x = 111,263.94/157.22
6. Step 6: Final answer
   x = 707.70