Finding the Third Proportional to 93,830 and 204,492

Step by Step Solution

1. Step 1: Write the proportion equation
   93,830 : 204,492 = 204,492 : x
2. Step 2: Convert to fraction form
   93,830/204,492 = 204,492/x
3. Step 3: Cross multiply
   93,830x = 204,492 × 204,492
4. Step 4: Simplify right side
   93,830x = 41,816,978,064
5. Step 5: Solve for x
   x = 41,816,978,064/93,830
6. Step 6: Final answer
   x = 445,667.46