Finding the Third Proportional to 85,995 and 123,865

Step by Step Solution

1. Step 1: Write the proportion equation
   85,995 : 123,865 = 123,865 : x
2. Step 2: Convert to fraction form
   85,995/123,865 = 123,865/x
3. Step 3: Cross multiply
   85,995x = 123,865 × 123,865
4. Step 4: Simplify right side
   85,995x = 15,342,538,225
5. Step 5: Solve for x
   x = 15,342,538,225/85,995
6. Step 6: Final answer
   x = 178,411.98