Finding the Third Proportional to 233.30 and 507.52

Step by Step Solution

1. Step 1: Write the proportion equation
   233.30 : 507.52 = 507.52 : x
2. Step 2: Convert to fraction form
   233.30/507.52 = 507.52/x
3. Step 3: Cross multiply
   233.30x = 507.52 × 507.52
4. Step 4: Simplify right side
   233.30x = 257,572.11
5. Step 5: Solve for x
   x = 257,572.11/233.30
6. Step 6: Final answer
   x = 1,104.05