Finding the Third Proportional to 85,848 and 179,538

Step by Step Solution

1. Step 1: Write the proportion equation
   85,848 : 179,538 = 179,538 : x
2. Step 2: Convert to fraction form
   85,848/179,538 = 179,538/x
3. Step 3: Cross multiply
   85,848x = 179,538 × 179,538
4. Step 4: Simplify right side
   85,848x = 32,233,893,444
5. Step 5: Solve for x
   x = 32,233,893,444/85,848
6. Step 6: Final answer
   x = 375,476.35