Finding the Third Proportional to 196,900 and 431,942

Step by Step Solution

1. Step 1: Write the proportion equation
   196,900 : 431,942 = 431,942 : x
2. Step 2: Convert to fraction form
   196,900/431,942 = 431,942/x
3. Step 3: Cross multiply
   196,900x = 431,942 × 431,942
4. Step 4: Simplify right side
   196,900x = 186,573,891,364
5. Step 5: Solve for x
   x = 186,573,891,364/196,900
6. Step 6: Final answer
   x = 947,556.58