Finding the Third Proportional to 196,839 and 431,085

Step by Step Solution

1. Step 1: Write the proportion equation
   196,839 : 431,085 = 431,085 : x
2. Step 2: Convert to fraction form
   196,839/431,085 = 431,085/x
3. Step 3: Cross multiply
   196,839x = 431,085 × 431,085
4. Step 4: Simplify right side
   196,839x = 185,834,277,225
5. Step 5: Solve for x
   x = 185,834,277,225/196,839
6. Step 6: Final answer
   x = 944,092.77