Finding the Third Proportional to 288.56 and 473.34

Step by Step Solution

1. Step 1: Write the proportion equation
   288.56 : 473.34 = 473.34 : x
2. Step 2: Convert to fraction form
   288.56/473.34 = 473.34/x
3. Step 3: Cross multiply
   288.56x = 473.34 × 473.34
4. Step 4: Simplify right side
   288.56x = 224,054.31
5. Step 5: Solve for x
   x = 224,054.31/288.56
6. Step 6: Final answer
   x = 776.45