Finding the Third Proportional to 184,640 and 401,536

Step by Step Solution

1. Step 1: Write the proportion equation
   184,640 : 401,536 = 401,536 : x
2. Step 2: Convert to fraction form
   184,640/401,536 = 401,536/x
3. Step 3: Cross multiply
   184,640x = 401,536 × 401,536
4. Step 4: Simplify right side
   184,640x = 161,231,159,296
5. Step 5: Solve for x
   x = 161,231,159,296/184,640
6. Step 6: Final answer
   x = 873,219.02