Finding the Third Proportional to 85,908 and 123,731

Step by Step Solution

1. Step 1: Write the proportion equation
   85,908 : 123,731 = 123,731 : x
2. Step 2: Convert to fraction form
   85,908/123,731 = 123,731/x
3. Step 3: Cross multiply
   85,908x = 123,731 × 123,731
4. Step 4: Simplify right side
   85,908x = 15,309,360,361
5. Step 5: Solve for x
   x = 15,309,360,361/85,908
6. Step 6: Final answer
   x = 178,206.46