Finding the Third Proportional to 123,060 and 289,746

Step by Step Solution

1. Step 1: Write the proportion equation
   123,060 : 289,746 = 289,746 : x
2. Step 2: Convert to fraction form
   123,060/289,746 = 289,746/x
3. Step 3: Cross multiply
   123,060x = 289,746 × 289,746
4. Step 4: Simplify right side
   123,060x = 83,952,744,516
5. Step 5: Solve for x
   x = 83,952,744,516/123,060
6. Step 6: Final answer
   x = 682,209.85