Finding the Third Proportional to 81,940 and 178,774

Step by Step Solution

1. Step 1: Write the proportion equation
   81,940 : 178,774 = 178,774 : x
2. Step 2: Convert to fraction form
   81,940/178,774 = 178,774/x
3. Step 3: Cross multiply
   81,940x = 178,774 × 178,774
4. Step 4: Simplify right side
   81,940x = 31,960,143,076
5. Step 5: Solve for x
   x = 31,960,143,076/81,940
6. Step 6: Final answer
   x = 390,043.24