Finding the Third Proportional to 178,795.50 and 270,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,795.50 : 270,016.50 = 270,016.50 : x
2. Step 2: Convert to fraction form
   178,795.50/270,016.50 = 270,016.50/x
3. Step 3: Cross multiply
   178,795.50x = 270,016.50 × 270,016.50
4. Step 4: Simplify right side
   178,795.50x = 72,908,910,272.25
5. Step 5: Solve for x
   x = 72,908,910,272.25/178,795.50
6. Step 6: Final answer
   x = 407,778.22