Finding the Third Proportional to 265.50 and 507.38

Step by Step Solution

1. Step 1: Write the proportion equation
   265.50 : 507.38 = 507.38 : x
2. Step 2: Convert to fraction form
   265.50/507.38 = 507.38/x
3. Step 3: Cross multiply
   265.50x = 507.38 × 507.38
4. Step 4: Simplify right side
   265.50x = 257,429.39
5. Step 5: Solve for x
   x = 257,429.39/265.50
6. Step 6: Final answer
   x = 969.60