Finding the Third Proportional to 191,846 and 287,771

Step by Step Solution

1. Step 1: Write the proportion equation
   191,846 : 287,771 = 287,771 : x
2. Step 2: Convert to fraction form
   191,846/287,771 = 287,771/x
3. Step 3: Cross multiply
   191,846x = 287,771 × 287,771
4. Step 4: Simplify right side
   191,846x = 82,812,148,441
5. Step 5: Solve for x
   x = 82,812,148,441/191,846
6. Step 6: Final answer
   x = 431,659.50