Finding the Third Proportional to 364.69 and 760.88

Step by Step Solution

1. Step 1: Write the proportion equation
   364.69 : 760.88 = 760.88 : x
2. Step 2: Convert to fraction form
   364.69/760.88 = 760.88/x
3. Step 3: Cross multiply
   364.69x = 760.88 × 760.88
4. Step 4: Simplify right side
   364.69x = 578,930.77
5. Step 5: Solve for x
   x = 578,930.77/364.69
6. Step 6: Final answer
   x = 1,587.47