Finding the Third Proportional to 120,105 and 185,985

Step by Step Solution

1. Step 1: Write the proportion equation
   120,105 : 185,985 = 185,985 : x
2. Step 2: Convert to fraction form
   120,105/185,985 = 185,985/x
3. Step 3: Cross multiply
   120,105x = 185,985 × 185,985
4. Step 4: Simplify right side
   120,105x = 34,590,420,225
5. Step 5: Solve for x
   x = 34,590,420,225/120,105
6. Step 6: Final answer
   x = 288,001.50