Finding the Third Proportional to 184,624 and 401,648

Step by Step Solution

1. Step 1: Write the proportion equation
   184,624 : 401,648 = 401,648 : x
2. Step 2: Convert to fraction form
   184,624/401,648 = 401,648/x
3. Step 3: Cross multiply
   184,624x = 401,648 × 401,648
4. Step 4: Simplify right side
   184,624x = 161,321,115,904
5. Step 5: Solve for x
   x = 161,321,115,904/184,624
6. Step 6: Final answer
   x = 873,781.93