Finding the Third Proportional to 364.50 and 796.88

Step by Step Solution

1. Step 1: Write the proportion equation
   364.50 : 796.88 = 796.88 : x
2. Step 2: Convert to fraction form
   364.50/796.88 = 796.88/x
3. Step 3: Cross multiply
   364.50x = 796.88 × 796.88
4. Step 4: Simplify right side
   364.50x = 635,009.77
5. Step 5: Solve for x
   x = 635,009.77/364.50
6. Step 6: Final answer
   x = 1,742.14