Finding the Third Proportional to 158,274 and 334,206

Step by Step Solution

1. Step 1: Write the proportion equation
   158,274 : 334,206 = 334,206 : x
2. Step 2: Convert to fraction form
   158,274/334,206 = 334,206/x
3. Step 3: Cross multiply
   158,274x = 334,206 × 334,206
4. Step 4: Simplify right side
   158,274x = 111,693,650,436
5. Step 5: Solve for x
   x = 111,693,650,436/158,274
6. Step 6: Final answer
   x = 705,698.03