Finding the Third Proportional to 375.89 and 770.77

Step by Step Solution

1. Step 1: Write the proportion equation
   375.89 : 770.77 = 770.77 : x
2. Step 2: Convert to fraction form
   375.89/770.77 = 770.77/x
3. Step 3: Cross multiply
   375.89x = 770.77 × 770.77
4. Step 4: Simplify right side
   375.89x = 594,079.65
5. Step 5: Solve for x
   x = 594,079.65/375.89
6. Step 6: Final answer
   x = 1,580.46