Finding the Third Proportional to 50,965 and 108,097

Step by Step Solution

1. Step 1: Write the proportion equation
   50,965 : 108,097 = 108,097 : x
2. Step 2: Convert to fraction form
   50,965/108,097 = 108,097/x
3. Step 3: Cross multiply
   50,965x = 108,097 × 108,097
4. Step 4: Simplify right side
   50,965x = 11,684,961,409
5. Step 5: Solve for x
   x = 11,684,961,409/50,965
6. Step 6: Final answer
   x = 229,274.24