Finding the Third Proportional to 120,109 and 185,991

Step by Step Solution

1. Step 1: Write the proportion equation
   120,109 : 185,991 = 185,991 : x
2. Step 2: Convert to fraction form
   120,109/185,991 = 185,991/x
3. Step 3: Cross multiply
   120,109x = 185,991 × 185,991
4. Step 4: Simplify right side
   120,109x = 34,592,652,081
5. Step 5: Solve for x
   x = 34,592,652,081/120,109
6. Step 6: Final answer
   x = 288,010.49