Finding the Third Proportional to 120,582 and 188,865

Step by Step Solution

1. Step 1: Write the proportion equation
   120,582 : 188,865 = 188,865 : x
2. Step 2: Convert to fraction form
   120,582/188,865 = 188,865/x
3. Step 3: Cross multiply
   120,582x = 188,865 × 188,865
4. Step 4: Simplify right side
   120,582x = 35,669,988,225
5. Step 5: Solve for x
   x = 35,669,988,225/120,582
6. Step 6: Final answer
   x = 295,815.20