Finding the Third Proportional to 55,684 and 114,098

Step by Step Solution

1. Step 1: Write the proportion equation
   55,684 : 114,098 = 114,098 : x
2. Step 2: Convert to fraction form
   55,684/114,098 = 114,098/x
3. Step 3: Cross multiply
   55,684x = 114,098 × 114,098
4. Step 4: Simplify right side
   55,684x = 13,018,353,604
5. Step 5: Solve for x
   x = 13,018,353,604/55,684
6. Step 6: Final answer
   x = 233,789.84