Finding the Third Proportional to 233.82 and 501.40

Step by Step Solution

1. Step 1: Write the proportion equation
   233.82 : 501.40 = 501.40 : x
2. Step 2: Convert to fraction form
   233.82/501.40 = 501.40/x
3. Step 3: Cross multiply
   233.82x = 501.40 × 501.40
4. Step 4: Simplify right side
   233.82x = 251,400.39
5. Step 5: Solve for x
   x = 251,400.39/233.82
6. Step 6: Final answer
   x = 1,075.17