Finding the Third Proportional to 94,342 and 206,180

Step by Step Solution

1. Step 1: Write the proportion equation
   94,342 : 206,180 = 206,180 : x
2. Step 2: Convert to fraction form
   94,342/206,180 = 206,180/x
3. Step 3: Cross multiply
   94,342x = 206,180 × 206,180
4. Step 4: Simplify right side
   94,342x = 42,510,192,400
5. Step 5: Solve for x
   x = 42,510,192,400/94,342
6. Step 6: Final answer
   x = 450,596.68