Finding the Third Proportional to 85,993 and 123,862.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,993 : 123,862.25 = 123,862.25 : x
2. Step 2: Convert to fraction form
   85,993/123,862.25 = 123,862.25/x
3. Step 3: Cross multiply
   85,993x = 123,862.25 × 123,862.25
4. Step 4: Simplify right side
   85,993x = 15,341,856,975.06
5. Step 5: Solve for x
   x = 15,341,856,975.06/85,993
6. Step 6: Final answer
   x = 178,408.21