Finding the Third Proportional to 191,952 and 287,796

Step by Step Solution

1. Step 1: Write the proportion equation
   191,952 : 287,796 = 287,796 : x
2. Step 2: Convert to fraction form
   191,952/287,796 = 287,796/x
3. Step 3: Cross multiply
   191,952x = 287,796 × 287,796
4. Step 4: Simplify right side
   191,952x = 82,826,537,616
5. Step 5: Solve for x
   x = 82,826,537,616/191,952
6. Step 6: Final answer
   x = 431,496.09