Finding the Third Proportional to 46,804 and 102,680

Step by Step Solution

1. Step 1: Write the proportion equation
   46,804 : 102,680 = 102,680 : x
2. Step 2: Convert to fraction form
   46,804/102,680 = 102,680/x
3. Step 3: Cross multiply
   46,804x = 102,680 × 102,680
4. Step 4: Simplify right side
   46,804x = 10,543,182,400
5. Step 5: Solve for x
   x = 10,543,182,400/46,804
6. Step 6: Final answer
   x = 225,262.42