Finding the Third Proportional to 36,178 and 78,884

Step by Step Solution

1. Step 1: Write the proportion equation
   36,178 : 78,884 = 78,884 : x
2. Step 2: Convert to fraction form
   36,178/78,884 = 78,884/x
3. Step 3: Cross multiply
   36,178x = 78,884 × 78,884
4. Step 4: Simplify right side
   36,178x = 6,222,685,456
5. Step 5: Solve for x
   x = 6,222,685,456/36,178
6. Step 6: Final answer
   x = 172,001.92