Finding the Third Proportional to 184,632 and 401,664

Step by Step Solution

1. Step 1: Write the proportion equation
   184,632 : 401,664 = 401,664 : x
2. Step 2: Convert to fraction form
   184,632/401,664 = 401,664/x
3. Step 3: Cross multiply
   184,632x = 401,664 × 401,664
4. Step 4: Simplify right side
   184,632x = 161,333,968,896
5. Step 5: Solve for x
   x = 161,333,968,896/184,632
6. Step 6: Final answer
   x = 873,813.69