Finding the Third Proportional to 191,886 and 287,852

Step by Step Solution

1. Step 1: Write the proportion equation
   191,886 : 287,852 = 287,852 : x
2. Step 2: Convert to fraction form
   191,886/287,852 = 287,852/x
3. Step 3: Cross multiply
   191,886x = 287,852 × 287,852
4. Step 4: Simplify right side
   191,886x = 82,858,773,904
5. Step 5: Solve for x
   x = 82,858,773,904/191,886
6. Step 6: Final answer
   x = 431,812.50