Finding the Third Proportional to 120,111 and 188,415

Step by Step Solution

1. Step 1: Write the proportion equation
   120,111 : 188,415 = 188,415 : x
2. Step 2: Convert to fraction form
   120,111/188,415 = 188,415/x
3. Step 3: Cross multiply
   120,111x = 188,415 × 188,415
4. Step 4: Simplify right side
   120,111x = 35,500,212,225
5. Step 5: Solve for x
   x = 35,500,212,225/120,111
6. Step 6: Final answer
   x = 295,561.71