Finding the Third Proportional to 85,974 and 189,384

Step by Step Solution

1. Step 1: Write the proportion equation
   85,974 : 189,384 = 189,384 : x
2. Step 2: Convert to fraction form
   85,974/189,384 = 189,384/x
3. Step 3: Cross multiply
   85,974x = 189,384 × 189,384
4. Step 4: Simplify right side
   85,974x = 35,866,299,456
5. Step 5: Solve for x
   x = 35,866,299,456/85,974
6. Step 6: Final answer
   x = 417,176.12