Finding the Third Proportional to 89,724 and 193,271

Step by Step Solution

1. Step 1: Write the proportion equation
   89,724 : 193,271 = 193,271 : x
2. Step 2: Convert to fraction form
   89,724/193,271 = 193,271/x
3. Step 3: Cross multiply
   89,724x = 193,271 × 193,271
4. Step 4: Simplify right side
   89,724x = 37,353,679,441
5. Step 5: Solve for x
   x = 37,353,679,441/89,724
6. Step 6: Final answer
   x = 416,317.59