Finding the Third Proportional to 120,414 and 190,826

Step by Step Solution

1. Step 1: Write the proportion equation
   120,414 : 190,826 = 190,826 : x
2. Step 2: Convert to fraction form
   120,414/190,826 = 190,826/x
3. Step 3: Cross multiply
   120,414x = 190,826 × 190,826
4. Step 4: Simplify right side
   120,414x = 36,414,562,276
5. Step 5: Solve for x
   x = 36,414,562,276/120,414
6. Step 6: Final answer
   x = 302,411.37