Finding the Third Proportional to 231,996 and 352,854

Step by Step Solution

1. Step 1: Write the proportion equation
   231,996 : 352,854 = 352,854 : x
2. Step 2: Convert to fraction form
   231,996/352,854 = 352,854/x
3. Step 3: Cross multiply
   231,996x = 352,854 × 352,854
4. Step 4: Simplify right side
   231,996x = 124,505,945,316
5. Step 5: Solve for x
   x = 124,505,945,316/231,996
6. Step 6: Final answer
   x = 536,672.81