Finding the Third Proportional to 85,128 and 182,892

Step by Step Solution

1. Step 1: Write the proportion equation
   85,128 : 182,892 = 182,892 : x
2. Step 2: Convert to fraction form
   85,128/182,892 = 182,892/x
3. Step 3: Cross multiply
   85,128x = 182,892 × 182,892
4. Step 4: Simplify right side
   85,128x = 33,449,483,664
5. Step 5: Solve for x
   x = 33,449,483,664/85,128
6. Step 6: Final answer
   x = 392,931.63