Finding the Third Proportional to 193,144 and 298,456

Step by Step Solution

1. Step 1: Write the proportion equation
   193,144 : 298,456 = 298,456 : x
2. Step 2: Convert to fraction form
   193,144/298,456 = 298,456/x
3. Step 3: Cross multiply
   193,144x = 298,456 × 298,456
4. Step 4: Simplify right side
   193,144x = 89,075,983,936
5. Step 5: Solve for x
   x = 89,075,983,936/193,144
6. Step 6: Final answer
   x = 461,189.50