Finding the Third Proportional to 81,861.25 and 178,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,861.25 : 178,940.50 = 178,940.50 : x
2. Step 2: Convert to fraction form
   81,861.25/178,940.50 = 178,940.50/x
3. Step 3: Cross multiply
   81,861.25x = 178,940.50 × 178,940.50
4. Step 4: Simplify right side
   81,861.25x = 32,019,702,540.25
5. Step 5: Solve for x
   x = 32,019,702,540.25/81,861.25
6. Step 6: Final answer
   x = 391,146.03