Finding the Third Proportional to 120,414 and 187,059

Step by Step Solution

1. Step 1: Write the proportion equation
   120,414 : 187,059 = 187,059 : x
2. Step 2: Convert to fraction form
   120,414/187,059 = 187,059/x
3. Step 3: Cross multiply
   120,414x = 187,059 × 187,059
4. Step 4: Simplify right side
   120,414x = 34,991,069,481
5. Step 5: Solve for x
   x = 34,991,069,481/120,414
6. Step 6: Final answer
   x = 290,589.71