Finding the Third Proportional to 52,818 and 116,004

Step by Step Solution

1. Step 1: Write the proportion equation
   52,818 : 116,004 = 116,004 : x
2. Step 2: Convert to fraction form
   52,818/116,004 = 116,004/x
3. Step 3: Cross multiply
   52,818x = 116,004 × 116,004
4. Step 4: Simplify right side
   52,818x = 13,456,928,016
5. Step 5: Solve for x
   x = 13,456,928,016/52,818
6. Step 6: Final answer
   x = 254,779.20