Finding the Third Proportional to 51,971 and 112,258

Step by Step Solution

1. Step 1: Write the proportion equation
   51,971 : 112,258 = 112,258 : x
2. Step 2: Convert to fraction form
   51,971/112,258 = 112,258/x
3. Step 3: Cross multiply
   51,971x = 112,258 × 112,258
4. Step 4: Simplify right side
   51,971x = 12,601,858,564
5. Step 5: Solve for x
   x = 12,601,858,564/51,971
6. Step 6: Final answer
   x = 242,478.66