Finding the Third Proportional to 187,902 and 412,002

Step by Step Solution

1. Step 1: Write the proportion equation
   187,902 : 412,002 = 412,002 : x
2. Step 2: Convert to fraction form
   187,902/412,002 = 412,002/x
3. Step 3: Cross multiply
   187,902x = 412,002 × 412,002
4. Step 4: Simplify right side
   187,902x = 169,745,648,004
5. Step 5: Solve for x
   x = 169,745,648,004/187,902
6. Step 6: Final answer
   x = 903,373.29