Finding the Third Proportional to 95,226 and 194,820

Step by Step Solution

1. Step 1: Write the proportion equation
   95,226 : 194,820 = 194,820 : x
2. Step 2: Convert to fraction form
   95,226/194,820 = 194,820/x
3. Step 3: Cross multiply
   95,226x = 194,820 × 194,820
4. Step 4: Simplify right side
   95,226x = 37,954,832,400
5. Step 5: Solve for x
   x = 37,954,832,400/95,226
6. Step 6: Final answer
   x = 398,576.36