Finding the Third Proportional to 120,087 and 185,962

Step by Step Solution

1. Step 1: Write the proportion equation
   120,087 : 185,962 = 185,962 : x
2. Step 2: Convert to fraction form
   120,087/185,962 = 185,962/x
3. Step 3: Cross multiply
   120,087x = 185,962 × 185,962
4. Step 4: Simplify right side
   120,087x = 34,581,865,444
5. Step 5: Solve for x
   x = 34,581,865,444/120,087
6. Step 6: Final answer
   x = 287,973.43