Finding the Third Proportional to 123,340 and 269,507

Step by Step Solution

1. Step 1: Write the proportion equation
   123,340 : 269,507 = 269,507 : x
2. Step 2: Convert to fraction form
   123,340/269,507 = 269,507/x
3. Step 3: Cross multiply
   123,340x = 269,507 × 269,507
4. Step 4: Simplify right side
   123,340x = 72,634,023,049
5. Step 5: Solve for x
   x = 72,634,023,049/123,340
6. Step 6: Final answer
   x = 588,892.68