Finding the Third Proportional to 52,296 and 113,658

Step by Step Solution

1. Step 1: Write the proportion equation
   52,296 : 113,658 = 113,658 : x
2. Step 2: Convert to fraction form
   52,296/113,658 = 113,658/x
3. Step 3: Cross multiply
   52,296x = 113,658 × 113,658
4. Step 4: Simplify right side
   52,296x = 12,918,140,964
5. Step 5: Solve for x
   x = 12,918,140,964/52,296
6. Step 6: Final answer
   x = 247,019.68