Finding the Third Proportional to 120,410 and 185,144

Step by Step Solution

1. Step 1: Write the proportion equation
   120,410 : 185,144 = 185,144 : x
2. Step 2: Convert to fraction form
   120,410/185,144 = 185,144/x
3. Step 3: Cross multiply
   120,410x = 185,144 × 185,144
4. Step 4: Simplify right side
   120,410x = 34,278,300,736
5. Step 5: Solve for x
   x = 34,278,300,736/120,410
6. Step 6: Final answer
   x = 284,679.85