Finding the Third Proportional to 105,204 and 147,977

Step by Step Solution

1. Step 1: Write the proportion equation
   105,204 : 147,977 = 147,977 : x
2. Step 2: Convert to fraction form
   105,204/147,977 = 147,977/x
3. Step 3: Cross multiply
   105,204x = 147,977 × 147,977
4. Step 4: Simplify right side
   105,204x = 21,897,192,529
5. Step 5: Solve for x
   x = 21,897,192,529/105,204
6. Step 6: Final answer
   x = 208,140.30