Finding the Third Proportional to 85,680 and 179,118

Step by Step Solution

1. Step 1: Write the proportion equation
   85,680 : 179,118 = 179,118 : x
2. Step 2: Convert to fraction form
   85,680/179,118 = 179,118/x
3. Step 3: Cross multiply
   85,680x = 179,118 × 179,118
4. Step 4: Simplify right side
   85,680x = 32,083,257,924
5. Step 5: Solve for x
   x = 32,083,257,924/85,680
6. Step 6: Final answer
   x = 374,454.46