Finding the Third Proportional to 42,271 and 89,258

Step by Step Solution

1. Step 1: Write the proportion equation
   42,271 : 89,258 = 89,258 : x
2. Step 2: Convert to fraction form
   42,271/89,258 = 89,258/x
3. Step 3: Cross multiply
   42,271x = 89,258 × 89,258
4. Step 4: Simplify right side
   42,271x = 7,966,990,564
5. Step 5: Solve for x
   x = 7,966,990,564/42,271
6. Step 6: Final answer
   x = 188,474.14