Finding the Third Proportional to 233,870 and 376,644

Step by Step Solution

1. Step 1: Write the proportion equation
   233,870 : 376,644 = 376,644 : x
2. Step 2: Convert to fraction form
   233,870/376,644 = 376,644/x
3. Step 3: Cross multiply
   233,870x = 376,644 × 376,644
4. Step 4: Simplify right side
   233,870x = 141,860,702,736
5. Step 5: Solve for x
   x = 141,860,702,736/233,870
6. Step 6: Final answer
   x = 606,579.31