Finding the Third Proportional to 81,806 and 178,830

Step by Step Solution

1. Step 1: Write the proportion equation
   81,806 : 178,830 = 178,830 : x
2. Step 2: Convert to fraction form
   81,806/178,830 = 178,830/x
3. Step 3: Cross multiply
   81,806x = 178,830 × 178,830
4. Step 4: Simplify right side
   81,806x = 31,980,168,900
5. Step 5: Solve for x
   x = 31,980,168,900/81,806
6. Step 6: Final answer
   x = 390,926.94