Finding the Third Proportional to 123,318 and 269,463

Step by Step Solution

1. Step 1: Write the proportion equation
   123,318 : 269,463 = 269,463 : x
2. Step 2: Convert to fraction form
   123,318/269,463 = 269,463/x
3. Step 3: Cross multiply
   123,318x = 269,463 × 269,463
4. Step 4: Simplify right side
   123,318x = 72,610,308,369
5. Step 5: Solve for x
   x = 72,610,308,369/123,318
6. Step 6: Final answer
   x = 588,805.43