Finding the Third Proportional to 123,683 and 271,038

Step by Step Solution

1. Step 1: Write the proportion equation
   123,683 : 271,038 = 271,038 : x
2. Step 2: Convert to fraction form
   123,683/271,038 = 271,038/x
3. Step 3: Cross multiply
   123,683x = 271,038 × 271,038
4. Step 4: Simplify right side
   123,683x = 73,461,597,444
5. Step 5: Solve for x
   x = 73,461,597,444/123,683
6. Step 6: Final answer
   x = 593,950.64