Finding the Third Proportional to 78,179 and 184,361

Step by Step Solution

1. Step 1: Write the proportion equation
   78,179 : 184,361 = 184,361 : x
2. Step 2: Convert to fraction form
   78,179/184,361 = 184,361/x
3. Step 3: Cross multiply
   78,179x = 184,361 × 184,361
4. Step 4: Simplify right side
   78,179x = 33,988,978,321
5. Step 5: Solve for x
   x = 33,988,978,321/78,179
6. Step 6: Final answer
   x = 434,758.42