Finding the Third Proportional to 123,056 and 289,737

Step by Step Solution

1. Step 1: Write the proportion equation
   123,056 : 289,737 = 289,737 : x
2. Step 2: Convert to fraction form
   123,056/289,737 = 289,737/x
3. Step 3: Cross multiply
   123,056x = 289,737 × 289,737
4. Step 4: Simplify right side
   123,056x = 83,947,529,169
5. Step 5: Solve for x
   x = 83,947,529,169/123,056
6. Step 6: Final answer
   x = 682,189.65