Finding the Third Proportional to 83,857.50 and 123,113.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,857.50 : 123,113.25 = 123,113.25 : x
2. Step 2: Convert to fraction form
   83,857.50/123,113.25 = 123,113.25/x
3. Step 3: Cross multiply
   83,857.50x = 123,113.25 × 123,113.25
4. Step 4: Simplify right side
   83,857.50x = 15,156,872,325.56
5. Step 5: Solve for x
   x = 15,156,872,325.56/83,857.50
6. Step 6: Final answer
   x = 180,745.58