Finding the Third Proportional to 196,152 and 300,546

Step by Step Solution

1. Step 1: Write the proportion equation
   196,152 : 300,546 = 300,546 : x
2. Step 2: Convert to fraction form
   196,152/300,546 = 300,546/x
3. Step 3: Cross multiply
   196,152x = 300,546 × 300,546
4. Step 4: Simplify right side
   196,152x = 90,327,898,116
5. Step 5: Solve for x
   x = 90,327,898,116/196,152
6. Step 6: Final answer
   x = 460,499.50