Finding the Third Proportional to 187,066 and 409,123

Step by Step Solution

1. Step 1: Write the proportion equation
   187,066 : 409,123 = 409,123 : x
2. Step 2: Convert to fraction form
   187,066/409,123 = 409,123/x
3. Step 3: Cross multiply
   187,066x = 409,123 × 409,123
4. Step 4: Simplify right side
   187,066x = 167,381,629,129
5. Step 5: Solve for x
   x = 167,381,629,129/187,066
6. Step 6: Final answer
   x = 894,773.12