Finding the Third Proportional to 108,906 and 147,804

Step by Step Solution

1. Step 1: Write the proportion equation
   108,906 : 147,804 = 147,804 : x
2. Step 2: Convert to fraction form
   108,906/147,804 = 147,804/x
3. Step 3: Cross multiply
   108,906x = 147,804 × 147,804
4. Step 4: Simplify right side
   108,906x = 21,846,022,416
5. Step 5: Solve for x
   x = 21,846,022,416/108,906
6. Step 6: Final answer
   x = 200,595.21