Finding the Third Proportional to 83,628 and 178,764

Step by Step Solution

1. Step 1: Write the proportion equation
   83,628 : 178,764 = 178,764 : x
2. Step 2: Convert to fraction form
   83,628/178,764 = 178,764/x
3. Step 3: Cross multiply
   83,628x = 178,764 × 178,764
4. Step 4: Simplify right side
   83,628x = 31,956,567,696
5. Step 5: Solve for x
   x = 31,956,567,696/83,628
6. Step 6: Final answer
   x = 382,127.61