Finding the Third Proportional to 188,424 and 410,726

Step by Step Solution

1. Step 1: Write the proportion equation
   188,424 : 410,726 = 410,726 : x
2. Step 2: Convert to fraction form
   188,424/410,726 = 410,726/x
3. Step 3: Cross multiply
   188,424x = 410,726 × 410,726
4. Step 4: Simplify right side
   188,424x = 168,695,847,076
5. Step 5: Solve for x
   x = 168,695,847,076/188,424
6. Step 6: Final answer
   x = 895,299.15