Finding the Third Proportional to 52,408.50 and 116,427

Step by Step Solution

1. Step 1: Write the proportion equation
   52,408.50 : 116,427 = 116,427 : x
2. Step 2: Convert to fraction form
   52,408.50/116,427 = 116,427/x
3. Step 3: Cross multiply
   52,408.50x = 116,427 × 116,427
4. Step 4: Simplify right side
   52,408.50x = 13,555,246,329
5. Step 5: Solve for x
   x = 13,555,246,329/52,408.50
6. Step 6: Final answer
   x = 258,645.95