Finding the Third Proportional to 58,508 and 114,098

Step by Step Solution

1. Step 1: Write the proportion equation
   58,508 : 114,098 = 114,098 : x
2. Step 2: Convert to fraction form
   58,508/114,098 = 114,098/x
3. Step 3: Cross multiply
   58,508x = 114,098 × 114,098
4. Step 4: Simplify right side
   58,508x = 13,018,353,604
5. Step 5: Solve for x
   x = 13,018,353,604/58,508
6. Step 6: Final answer
   x = 222,505.53