Finding the Third Proportional to 52,504 and 116,564

Step by Step Solution

1. Step 1: Write the proportion equation
   52,504 : 116,564 = 116,564 : x
2. Step 2: Convert to fraction form
   52,504/116,564 = 116,564/x
3. Step 3: Cross multiply
   52,504x = 116,564 × 116,564
4. Step 4: Simplify right side
   52,504x = 13,587,166,096
5. Step 5: Solve for x
   x = 13,587,166,096/52,504
6. Step 6: Final answer
   x = 258,783.45