Finding the Third Proportional to 140,123 and 290,218

Step by Step Solution

1. Step 1: Write the proportion equation
   140,123 : 290,218 = 290,218 : x
2. Step 2: Convert to fraction form
   140,123/290,218 = 290,218/x
3. Step 3: Cross multiply
   140,123x = 290,218 × 290,218
4. Step 4: Simplify right side
   140,123x = 84,226,487,524
5. Step 5: Solve for x
   x = 84,226,487,524/140,123
6. Step 6: Final answer
   x = 601,089.67