Finding the Third Proportional to 186,856 and 438,674

Step by Step Solution

1. Step 1: Write the proportion equation
   186,856 : 438,674 = 438,674 : x
2. Step 2: Convert to fraction form
   186,856/438,674 = 438,674/x
3. Step 3: Cross multiply
   186,856x = 438,674 × 438,674
4. Step 4: Simplify right side
   186,856x = 192,434,878,276
5. Step 5: Solve for x
   x = 192,434,878,276/186,856
6. Step 6: Final answer
   x = 1,029,856.56