Finding the Third Proportional to 190,776 and 414,384

Step by Step Solution

1. Step 1: Write the proportion equation
   190,776 : 414,384 = 414,384 : x
2. Step 2: Convert to fraction form
   190,776/414,384 = 414,384/x
3. Step 3: Cross multiply
   190,776x = 414,384 × 414,384
4. Step 4: Simplify right side
   190,776x = 171,714,099,456
5. Step 5: Solve for x
   x = 171,714,099,456/190,776
6. Step 6: Final answer
   x = 900,082.29