Finding the Third Proportional to 193,830 and 411,144

Step by Step Solution

1. Step 1: Write the proportion equation
   193,830 : 411,144 = 411,144 : x
2. Step 2: Convert to fraction form
   193,830/411,144 = 411,144/x
3. Step 3: Cross multiply
   193,830x = 411,144 × 411,144
4. Step 4: Simplify right side
   193,830x = 169,039,388,736
5. Step 5: Solve for x
   x = 169,039,388,736/193,830
6. Step 6: Final answer
   x = 872,101.27