Finding the Third Proportional to 85,095 and 180,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,095 : 180,949.50 = 180,949.50 : x
2. Step 2: Convert to fraction form
   85,095/180,949.50 = 180,949.50/x
3. Step 3: Cross multiply
   85,095x = 180,949.50 × 180,949.50
4. Step 4: Simplify right side
   85,095x = 32,742,721,550.25
5. Step 5: Solve for x
   x = 32,742,721,550.25/85,095
6. Step 6: Final answer
   x = 384,778.44