Finding the Third Proportional to 120,910 and 187,852

Step by Step Solution

1. Step 1: Write the proportion equation
   120,910 : 187,852 = 187,852 : x
2. Step 2: Convert to fraction form
   120,910/187,852 = 187,852/x
3. Step 3: Cross multiply
   120,910x = 187,852 × 187,852
4. Step 4: Simplify right side
   120,910x = 35,288,373,904
5. Step 5: Solve for x
   x = 35,288,373,904/120,910
6. Step 6: Final answer
   x = 291,856.54