Finding the Third Proportional to 85,991.25 and 123,858.75

Step by Step Solution

1. Step 1: Write the proportion equation
   85,991.25 : 123,858.75 = 123,858.75 : x
2. Step 2: Convert to fraction form
   85,991.25/123,858.75 = 123,858.75/x
3. Step 3: Cross multiply
   85,991.25x = 123,858.75 × 123,858.75
4. Step 4: Simplify right side
   85,991.25x = 15,340,989,951.56
5. Step 5: Solve for x
   x = 15,340,989,951.56/85,991.25
6. Step 6: Final answer
   x = 178,401.76