Finding the Third Proportional to 81,837 and 123,862.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,837 : 123,862.50 = 123,862.50 : x
2. Step 2: Convert to fraction form
   81,837/123,862.50 = 123,862.50/x
3. Step 3: Cross multiply
   81,837x = 123,862.50 × 123,862.50
4. Step 4: Simplify right side
   81,837x = 15,341,918,906.25
5. Step 5: Solve for x
   x = 15,341,918,906.25/81,837
6. Step 6: Final answer
   x = 187,469.22