Finding the Third Proportional to 95,778 and 194,290

Step by Step Solution

1. Step 1: Write the proportion equation
   95,778 : 194,290 = 194,290 : x
2. Step 2: Convert to fraction form
   95,778/194,290 = 194,290/x
3. Step 3: Cross multiply
   95,778x = 194,290 × 194,290
4. Step 4: Simplify right side
   95,778x = 37,748,604,100
5. Step 5: Solve for x
   x = 37,748,604,100/95,778
6. Step 6: Final answer
   x = 394,126.04