Finding the Third Proportional to 263.25 and 507.38

Step by Step Solution

1. Step 1: Write the proportion equation
   263.25 : 507.38 = 507.38 : x
2. Step 2: Convert to fraction form
   263.25/507.38 = 507.38/x
3. Step 3: Cross multiply
   263.25x = 507.38 × 507.38
4. Step 4: Simplify right side
   263.25x = 257,429.39
5. Step 5: Solve for x
   x = 257,429.39/263.25
6. Step 6: Final answer
   x = 977.89