Finding the Third Proportional to 184,546 and 401,076

Step by Step Solution

1. Step 1: Write the proportion equation
   184,546 : 401,076 = 401,076 : x
2. Step 2: Convert to fraction form
   184,546/401,076 = 401,076/x
3. Step 3: Cross multiply
   184,546x = 401,076 × 401,076
4. Step 4: Simplify right side
   184,546x = 160,861,957,776
5. Step 5: Solve for x
   x = 160,861,957,776/184,546
6. Step 6: Final answer
   x = 871,663.20