Finding the Third Proportional to 52,932 and 114,504

Step by Step Solution

1. Step 1: Write the proportion equation
   52,932 : 114,504 = 114,504 : x
2. Step 2: Convert to fraction form
   52,932/114,504 = 114,504/x
3. Step 3: Cross multiply
   52,932x = 114,504 × 114,504
4. Step 4: Simplify right side
   52,932x = 13,111,166,016
5. Step 5: Solve for x
   x = 13,111,166,016/52,932
6. Step 6: Final answer
   x = 247,698.29