Finding the Third Proportional to 52,821 and 116,010

Step by Step Solution

1. Step 1: Write the proportion equation
   52,821 : 116,010 = 116,010 : x
2. Step 2: Convert to fraction form
   52,821/116,010 = 116,010/x
3. Step 3: Cross multiply
   52,821x = 116,010 × 116,010
4. Step 4: Simplify right side
   52,821x = 13,458,320,100
5. Step 5: Solve for x
   x = 13,458,320,100/52,821
6. Step 6: Final answer
   x = 254,791.09