Finding the Third Proportional to 178,590 and 392,892

Step by Step Solution

1. Step 1: Write the proportion equation
   178,590 : 392,892 = 392,892 : x
2. Step 2: Convert to fraction form
   178,590/392,892 = 392,892/x
3. Step 3: Cross multiply
   178,590x = 392,892 × 392,892
4. Step 4: Simplify right side
   178,590x = 154,364,123,664
5. Step 5: Solve for x
   x = 154,364,123,664/178,590
6. Step 6: Final answer
   x = 864,349.20