Finding the Third Proportional to 191,886 and 287,850

Step by Step Solution

1. Step 1: Write the proportion equation
   191,886 : 287,850 = 287,850 : x
2. Step 2: Convert to fraction form
   191,886/287,850 = 287,850/x
3. Step 3: Cross multiply
   191,886x = 287,850 × 287,850
4. Step 4: Simplify right side
   191,886x = 82,857,622,500
5. Step 5: Solve for x
   x = 82,857,622,500/191,886
6. Step 6: Final answer
   x = 431,806.50