Finding the Third Proportional to 33,089 and 78,099

Step by Step Solution

1. Step 1: Write the proportion equation
   33,089 : 78,099 = 78,099 : x
2. Step 2: Convert to fraction form
   33,089/78,099 = 78,099/x
3. Step 3: Cross multiply
   33,089x = 78,099 × 78,099
4. Step 4: Simplify right side
   33,089x = 6,099,453,801
5. Step 5: Solve for x
   x = 6,099,453,801/33,089
6. Step 6: Final answer
   x = 184,334.79