Finding the Third Proportional to 39,843 and 85,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,843 : 85,834.50 = 85,834.50 : x
2. Step 2: Convert to fraction form
   39,843/85,834.50 = 85,834.50/x
3. Step 3: Cross multiply
   39,843x = 85,834.50 × 85,834.50
4. Step 4: Simplify right side
   39,843x = 7,367,561,390.25
5. Step 5: Solve for x
   x = 7,367,561,390.25/39,843
6. Step 6: Final answer
   x = 184,914.83