Finding the Third Proportional to 375.47 and 501.94

Step by Step Solution

1. Step 1: Write the proportion equation
   375.47 : 501.94 = 501.94 : x
2. Step 2: Convert to fraction form
   375.47/501.94 = 501.94/x
3. Step 3: Cross multiply
   375.47x = 501.94 × 501.94
4. Step 4: Simplify right side
   375.47x = 251,941.25
5. Step 5: Solve for x
   x = 251,941.25/375.47
6. Step 6: Final answer
   x = 671.00