Finding the Third Proportional to 83,646 and 178,928

Step by Step Solution

1. Step 1: Write the proportion equation
   83,646 : 178,928 = 178,928 : x
2. Step 2: Convert to fraction form
   83,646/178,928 = 178,928/x
3. Step 3: Cross multiply
   83,646x = 178,928 × 178,928
4. Step 4: Simplify right side
   83,646x = 32,015,229,184
5. Step 5: Solve for x
   x = 32,015,229,184/83,646
6. Step 6: Final answer
   x = 382,746.68