Finding the Third Proportional to 81,852 and 180,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,852 : 180,910.50 = 180,910.50 : x
2. Step 2: Convert to fraction form
   81,852/180,910.50 = 180,910.50/x
3. Step 3: Cross multiply
   81,852x = 180,910.50 × 180,910.50
4. Step 4: Simplify right side
   81,852x = 32,728,609,010.25
5. Step 5: Solve for x
   x = 32,728,609,010.25/81,852
6. Step 6: Final answer
   x = 399,851.06