Finding the Third Proportional to 81,834.75 and 123,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,834.75 : 123,223.50 = 123,223.50 : x
2. Step 2: Convert to fraction form
   81,834.75/123,223.50 = 123,223.50/x
3. Step 3: Cross multiply
   81,834.75x = 123,223.50 × 123,223.50
4. Step 4: Simplify right side
   81,834.75x = 15,184,030,952.25
5. Step 5: Solve for x
   x = 15,184,030,952.25/81,834.75
6. Step 6: Final answer
   x = 185,545.03