Finding the Third Proportional to 71,680 and 100,258

Step by Step Solution

1. Step 1: Write the proportion equation
   71,680 : 100,258 = 100,258 : x
2. Step 2: Convert to fraction form
   71,680/100,258 = 100,258/x
3. Step 3: Cross multiply
   71,680x = 100,258 × 100,258
4. Step 4: Simplify right side
   71,680x = 10,051,666,564
5. Step 5: Solve for x
   x = 10,051,666,564/71,680
6. Step 6: Final answer
   x = 140,229.72