Finding the Third Proportional to 104,082 and 164,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   104,082 : 164,650.50 = 164,650.50 : x
2. Step 2: Convert to fraction form
   104,082/164,650.50 = 164,650.50/x
3. Step 3: Cross multiply
   104,082x = 164,650.50 × 164,650.50
4. Step 4: Simplify right side
   104,082x = 27,109,787,150.25
5. Step 5: Solve for x
   x = 27,109,787,150.25/104,082
6. Step 6: Final answer
   x = 260,465.66