Finding the Third Proportional to 300.56 and 710.06

Step by Step Solution

1. Step 1: Write the proportion equation
   300.56 : 710.06 = 710.06 : x
2. Step 2: Convert to fraction form
   300.56/710.06 = 710.06/x
3. Step 3: Cross multiply
   300.56x = 710.06 × 710.06
4. Step 4: Simplify right side
   300.56x = 504,188.75
5. Step 5: Solve for x
   x = 504,188.75/300.56
6. Step 6: Final answer
   x = 1,677.48