Finding the Third Proportional to 85,644 and 180,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,644 : 180,517.50 = 180,517.50 : x
2. Step 2: Convert to fraction form
   85,644/180,517.50 = 180,517.50/x
3. Step 3: Cross multiply
   85,644x = 180,517.50 × 180,517.50
4. Step 4: Simplify right side
   85,644x = 32,586,567,806.25
5. Step 5: Solve for x
   x = 32,586,567,806.25/85,644
6. Step 6: Final answer
   x = 380,488.63