Finding the Third Proportional to 188,664 and 410,064

Step by Step Solution

1. Step 1: Write the proportion equation
   188,664 : 410,064 = 410,064 : x
2. Step 2: Convert to fraction form
   188,664/410,064 = 410,064/x
3. Step 3: Cross multiply
   188,664x = 410,064 × 410,064
4. Step 4: Simplify right side
   188,664x = 168,152,484,096
5. Step 5: Solve for x
   x = 168,152,484,096/188,664
6. Step 6: Final answer
   x = 891,280.18