Finding the Third Proportional to 120,494 and 185,354

Step by Step Solution

1. Step 1: Write the proportion equation
   120,494 : 185,354 = 185,354 : x
2. Step 2: Convert to fraction form
   120,494/185,354 = 185,354/x
3. Step 3: Cross multiply
   120,494x = 185,354 × 185,354
4. Step 4: Simplify right side
   120,494x = 34,356,105,316
5. Step 5: Solve for x
   x = 34,356,105,316/120,494
6. Step 6: Final answer
   x = 285,127.10