Finding the Third Proportional to 89,132.50 and 194,258

Step by Step Solution

1. Step 1: Write the proportion equation
   89,132.50 : 194,258 = 194,258 : x
2. Step 2: Convert to fraction form
   89,132.50/194,258 = 194,258/x
3. Step 3: Cross multiply
   89,132.50x = 194,258 × 194,258
4. Step 4: Simplify right side
   89,132.50x = 37,736,170,564
5. Step 5: Solve for x
   x = 37,736,170,564/89,132.50
6. Step 6: Final answer
   x = 423,371.62