Finding the Third Proportional to 106,436 and 147,990

Step by Step Solution

1. Step 1: Write the proportion equation
   106,436 : 147,990 = 147,990 : x
2. Step 2: Convert to fraction form
   106,436/147,990 = 147,990/x
3. Step 3: Cross multiply
   106,436x = 147,990 × 147,990
4. Step 4: Simplify right side
   106,436x = 21,901,040,100
5. Step 5: Solve for x
   x = 21,901,040,100/106,436
6. Step 6: Final answer
   x = 205,767.22