Finding the Third Proportional to 371,567 and 517,012

Step by Step Solution

1. Step 1: Write the proportion equation
   371,567 : 517,012 = 517,012 : x
2. Step 2: Convert to fraction form
   371,567/517,012 = 517,012/x
3. Step 3: Cross multiply
   371,567x = 517,012 × 517,012
4. Step 4: Simplify right side
   371,567x = 267,301,408,144
5. Step 5: Solve for x
   x = 267,301,408,144/371,567
6. Step 6: Final answer
   x = 719,389.53