Finding the Third Proportional to 217,938 and 300,123

Step by Step Solution

1. Step 1: Write the proportion equation
   217,938 : 300,123 = 300,123 : x
2. Step 2: Convert to fraction form
   217,938/300,123 = 300,123/x
3. Step 3: Cross multiply
   217,938x = 300,123 × 300,123
4. Step 4: Simplify right side
   217,938x = 90,073,815,129
5. Step 5: Solve for x
   x = 90,073,815,129/217,938
6. Step 6: Final answer
   x = 413,300.18