Finding the Third Proportional to 189,572 and 414,856

Step by Step Solution

1. Step 1: Write the proportion equation
   189,572 : 414,856 = 414,856 : x
2. Step 2: Convert to fraction form
   189,572/414,856 = 414,856/x
3. Step 3: Cross multiply
   189,572x = 414,856 × 414,856
4. Step 4: Simplify right side
   189,572x = 172,105,500,736
5. Step 5: Solve for x
   x = 172,105,500,736/189,572
6. Step 6: Final answer
   x = 907,863.51