Finding the Third Proportional to 78,058 and 184,056

Step by Step Solution

1. Step 1: Write the proportion equation
   78,058 : 184,056 = 184,056 : x
2. Step 2: Convert to fraction form
   78,058/184,056 = 184,056/x
3. Step 3: Cross multiply
   78,058x = 184,056 × 184,056
4. Step 4: Simplify right side
   78,058x = 33,876,611,136
5. Step 5: Solve for x
   x = 33,876,611,136/78,058
6. Step 6: Final answer
   x = 433,992.81