Finding the Third Proportional to 52,071 and 116,238

Step by Step Solution

1. Step 1: Write the proportion equation
   52,071 : 116,238 = 116,238 : x
2. Step 2: Convert to fraction form
   52,071/116,238 = 116,238/x
3. Step 3: Cross multiply
   52,071x = 116,238 × 116,238
4. Step 4: Simplify right side
   52,071x = 13,511,272,644
5. Step 5: Solve for x
   x = 13,511,272,644/52,071
6. Step 6: Final answer
   x = 259,477.88