Finding the Third Proportional to 33,186 and 70,258

Step by Step Solution

1. Step 1: Write the proportion equation
   33,186 : 70,258 = 70,258 : x
2. Step 2: Convert to fraction form
   33,186/70,258 = 70,258/x
3. Step 3: Cross multiply
   33,186x = 70,258 × 70,258
4. Step 4: Simplify right side
   33,186x = 4,936,186,564
5. Step 5: Solve for x
   x = 4,936,186,564/33,186
6. Step 6: Final answer
   x = 148,743.04