Finding the Third Proportional to 195,588 and 287,820

Step by Step Solution

1. Step 1: Write the proportion equation
   195,588 : 287,820 = 287,820 : x
2. Step 2: Convert to fraction form
   195,588/287,820 = 287,820/x
3. Step 3: Cross multiply
   195,588x = 287,820 × 287,820
4. Step 4: Simplify right side
   195,588x = 82,840,352,400
5. Step 5: Solve for x
   x = 82,840,352,400/195,588
6. Step 6: Final answer
   x = 423,545.17