Finding the Third Proportional to 85,997 and 123,868

Step by Step Solution

1. Step 1: Write the proportion equation
   85,997 : 123,868 = 123,868 : x
2. Step 2: Convert to fraction form
   85,997/123,868 = 123,868/x
3. Step 3: Cross multiply
   85,997x = 123,868 × 123,868
4. Step 4: Simplify right side
   85,997x = 15,343,281,424
5. Step 5: Solve for x
   x = 15,343,281,424/85,997
6. Step 6: Final answer
   x = 178,416.47