Finding the Third Proportional to 196,870 and 431,876

Step by Step Solution

1. Step 1: Write the proportion equation
   196,870 : 431,876 = 431,876 : x
2. Step 2: Convert to fraction form
   196,870/431,876 = 431,876/x
3. Step 3: Cross multiply
   196,870x = 431,876 × 431,876
4. Step 4: Simplify right side
   196,870x = 186,516,879,376
5. Step 5: Solve for x
   x = 186,516,879,376/196,870
6. Step 6: Final answer
   x = 947,411.39