Finding the Third Proportional to 188,856 and 405,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,856 : 405,664.50 = 405,664.50 : x
2. Step 2: Convert to fraction form
   188,856/405,664.50 = 405,664.50/x
3. Step 3: Cross multiply
   188,856x = 405,664.50 × 405,664.50
4. Step 4: Simplify right side
   188,856x = 164,563,686,560.25
5. Step 5: Solve for x
   x = 164,563,686,560.25/188,856
6. Step 6: Final answer
   x = 871,371.24