Finding the Third Proportional to 95,766 and 194,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,766 : 194,266.50 = 194,266.50 : x
2. Step 2: Convert to fraction form
   95,766/194,266.50 = 194,266.50/x
3. Step 3: Cross multiply
   95,766x = 194,266.50 × 194,266.50
4. Step 4: Simplify right side
   95,766x = 37,739,473,022.25
5. Step 5: Solve for x
   x = 37,739,473,022.25/95,766
6. Step 6: Final answer
   x = 394,080.08