Finding the Third Proportional to 187,624 and 410,942

Step by Step Solution

1. Step 1: Write the proportion equation
   187,624 : 410,942 = 410,942 : x
2. Step 2: Convert to fraction form
   187,624/410,942 = 410,942/x
3. Step 3: Cross multiply
   187,624x = 410,942 × 410,942
4. Step 4: Simplify right side
   187,624x = 168,873,327,364
5. Step 5: Solve for x
   x = 168,873,327,364/187,624
6. Step 6: Final answer
   x = 900,062.50