Finding the Third Proportional to 103,906 and 151,971

Step by Step Solution

1. Step 1: Write the proportion equation
   103,906 : 151,971 = 151,971 : x
2. Step 2: Convert to fraction form
   103,906/151,971 = 151,971/x
3. Step 3: Cross multiply
   103,906x = 151,971 × 151,971
4. Step 4: Simplify right side
   103,906x = 23,095,184,841
5. Step 5: Solve for x
   x = 23,095,184,841/103,906
6. Step 6: Final answer
   x = 222,269.98