Finding the Third Proportional to 359.81 and 507.56

Step by Step Solution

1. Step 1: Write the proportion equation
   359.81 : 507.56 = 507.56 : x
2. Step 2: Convert to fraction form
   359.81/507.56 = 507.56/x
3. Step 3: Cross multiply
   359.81x = 507.56 × 507.56
4. Step 4: Simplify right side
   359.81x = 257,619.69
5. Step 5: Solve for x
   x = 257,619.69/359.81
6. Step 6: Final answer
   x = 715.98