Finding the Third Proportional to 380.50 and 879.25

Step by Step Solution

1. Step 1: Write the proportion equation
   380.50 : 879.25 = 879.25 : x
2. Step 2: Convert to fraction form
   380.50/879.25 = 879.25/x
3. Step 3: Cross multiply
   380.50x = 879.25 × 879.25
4. Step 4: Simplify right side
   380.50x = 773,080.56
5. Step 5: Solve for x
   x = 773,080.56/380.50
6. Step 6: Final answer
   x = 2,031.75