Finding the Third Proportional to 81,763 and 182,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,763 : 182,662.50 = 182,662.50 : x
2. Step 2: Convert to fraction form
   81,763/182,662.50 = 182,662.50/x
3. Step 3: Cross multiply
   81,763x = 182,662.50 × 182,662.50
4. Step 4: Simplify right side
   81,763x = 33,365,588,906.25
5. Step 5: Solve for x
   x = 33,365,588,906.25/81,763
6. Step 6: Final answer
   x = 408,076.87