Finding the Third Proportional to 120,107 and 185,988

Step by Step Solution

1. Step 1: Write the proportion equation
   120,107 : 185,988 = 185,988 : x
2. Step 2: Convert to fraction form
   120,107/185,988 = 185,988/x
3. Step 3: Cross multiply
   120,107x = 185,988 × 185,988
4. Step 4: Simplify right side
   120,107x = 34,591,536,144
5. Step 5: Solve for x
   x = 34,591,536,144/120,107
6. Step 6: Final answer
   x = 288,006.00