Finding the Third Proportional to 123,537 and 269,731

Step by Step Solution

1. Step 1: Write the proportion equation
   123,537 : 269,731 = 269,731 : x
2. Step 2: Convert to fraction form
   123,537/269,731 = 269,731/x
3. Step 3: Cross multiply
   123,537x = 269,731 × 269,731
4. Step 4: Simplify right side
   123,537x = 72,754,812,361
5. Step 5: Solve for x
   x = 72,754,812,361/123,537
6. Step 6: Final answer
   x = 588,931.35