Finding the Third Proportional to 189,414 and 315,650

Step by Step Solution

1. Step 1: Write the proportion equation
   189,414 : 315,650 = 315,650 : x
2. Step 2: Convert to fraction form
   189,414/315,650 = 315,650/x
3. Step 3: Cross multiply
   189,414x = 315,650 × 315,650
4. Step 4: Simplify right side
   189,414x = 99,634,922,500
5. Step 5: Solve for x
   x = 99,634,922,500/189,414
6. Step 6: Final answer
   x = 526,016.68