Finding the Third Proportional to 116,724 and 260,664

Step by Step Solution

1. Step 1: Write the proportion equation
   116,724 : 260,664 = 260,664 : x
2. Step 2: Convert to fraction form
   116,724/260,664 = 260,664/x
3. Step 3: Cross multiply
   116,724x = 260,664 × 260,664
4. Step 4: Simplify right side
   116,724x = 67,945,720,896
5. Step 5: Solve for x
   x = 67,945,720,896/116,724
6. Step 6: Final answer
   x = 582,105.83