Finding the Third Proportional to 90,498 and 189,258

Step by Step Solution

1. Step 1: Write the proportion equation
   90,498 : 189,258 = 189,258 : x
2. Step 2: Convert to fraction form
   90,498/189,258 = 189,258/x
3. Step 3: Cross multiply
   90,498x = 189,258 × 189,258
4. Step 4: Simplify right side
   90,498x = 35,818,590,564
5. Step 5: Solve for x
   x = 35,818,590,564/90,498
6. Step 6: Final answer
   x = 395,794.28