Finding the Third Proportional to 187,142 and 287,654

Step by Step Solution

1. Step 1: Write the proportion equation
   187,142 : 287,654 = 287,654 : x
2. Step 2: Convert to fraction form
   187,142/287,654 = 287,654/x
3. Step 3: Cross multiply
   187,142x = 287,654 × 287,654
4. Step 4: Simplify right side
   187,142x = 82,744,823,716
5. Step 5: Solve for x
   x = 82,744,823,716/187,142
6. Step 6: Final answer
   x = 442,149.94