Finding the Third Proportional to 95,695 and 206,014

Step by Step Solution

1. Step 1: Write the proportion equation
   95,695 : 206,014 = 206,014 : x
2. Step 2: Convert to fraction form
   95,695/206,014 = 206,014/x
3. Step 3: Cross multiply
   95,695x = 206,014 × 206,014
4. Step 4: Simplify right side
   95,695x = 42,441,768,196
5. Step 5: Solve for x
   x = 42,441,768,196/95,695
6. Step 6: Final answer
   x = 443,510.82