Finding the Third Proportional to 196,624 and 295,910

Step by Step Solution

1. Step 1: Write the proportion equation
   196,624 : 295,910 = 295,910 : x
2. Step 2: Convert to fraction form
   196,624/295,910 = 295,910/x
3. Step 3: Cross multiply
   196,624x = 295,910 × 295,910
4. Step 4: Simplify right side
   196,624x = 87,562,728,100
5. Step 5: Solve for x
   x = 87,562,728,100/196,624
6. Step 6: Final answer
   x = 445,330.82