Finding the Third Proportional to 95,274 and 205,614

Step by Step Solution

1. Step 1: Write the proportion equation
   95,274 : 205,614 = 205,614 : x
2. Step 2: Convert to fraction form
   95,274/205,614 = 205,614/x
3. Step 3: Cross multiply
   95,274x = 205,614 × 205,614
4. Step 4: Simplify right side
   95,274x = 42,277,116,996
5. Step 5: Solve for x
   x = 42,277,116,996/95,274
6. Step 6: Final answer
   x = 443,742.44