Finding the Third Proportional to 184,536 and 401,056

Step by Step Solution

1. Step 1: Write the proportion equation
   184,536 : 401,056 = 401,056 : x
2. Step 2: Convert to fraction form
   184,536/401,056 = 401,056/x
3. Step 3: Cross multiply
   184,536x = 401,056 × 401,056
4. Step 4: Simplify right side
   184,536x = 160,845,915,136
5. Step 5: Solve for x
   x = 160,845,915,136/184,536
6. Step 6: Final answer
   x = 871,623.51