Finding the Third Proportional to 90,357 and 193,170

Step by Step Solution

1. Step 1: Write the proportion equation
   90,357 : 193,170 = 193,170 : x
2. Step 2: Convert to fraction form
   90,357/193,170 = 193,170/x
3. Step 3: Cross multiply
   90,357x = 193,170 × 193,170
4. Step 4: Simplify right side
   90,357x = 37,314,648,900
5. Step 5: Solve for x
   x = 37,314,648,900/90,357
6. Step 6: Final answer
   x = 412,969.10