Finding the Third Proportional to 185,928 and 401,664

Step by Step Solution

1. Step 1: Write the proportion equation
   185,928 : 401,664 = 401,664 : x
2. Step 2: Convert to fraction form
   185,928/401,664 = 401,664/x
3. Step 3: Cross multiply
   185,928x = 401,664 × 401,664
4. Step 4: Simplify right side
   185,928x = 161,333,968,896
5. Step 5: Solve for x
   x = 161,333,968,896/185,928
6. Step 6: Final answer
   x = 867,722.82