Finding the Third Proportional to 300.16 and 477.77

Step by Step Solution

1. Step 1: Write the proportion equation
   300.16 : 477.77 = 477.77 : x
2. Step 2: Convert to fraction form
   300.16/477.77 = 477.77/x
3. Step 3: Cross multiply
   300.16x = 477.77 × 477.77
4. Step 4: Simplify right side
   300.16x = 228,267.46
5. Step 5: Solve for x
   x = 228,267.46/300.16
6. Step 6: Final answer
   x = 760.48