Finding the Third Proportional to 83,656 and 178,944

Step by Step Solution

1. Step 1: Write the proportion equation
   83,656 : 178,944 = 178,944 : x
2. Step 2: Convert to fraction form
   83,656/178,944 = 178,944/x
3. Step 3: Cross multiply
   83,656x = 178,944 × 178,944
4. Step 4: Simplify right side
   83,656x = 32,020,955,136
5. Step 5: Solve for x
   x = 32,020,955,136/83,656
6. Step 6: Final answer
   x = 382,769.38