Finding the Third Proportional to 94,142 and 206,942

Step by Step Solution

1. Step 1: Write the proportion equation
   94,142 : 206,942 = 206,942 : x
2. Step 2: Convert to fraction form
   94,142/206,942 = 206,942/x
3. Step 3: Cross multiply
   94,142x = 206,942 × 206,942
4. Step 4: Simplify right side
   94,142x = 42,824,991,364
5. Step 5: Solve for x
   x = 42,824,991,364/94,142
6. Step 6: Final answer
   x = 454,897.83