Finding the Third Proportional to 81,949.22 and 178,792.31

Step by Step Solution

1. Step 1: Write the proportion equation
   81,949.22 : 178,792.31 = 178,792.31 : x
2. Step 2: Convert to fraction form
   81,949.22/178,792.31 = 178,792.31/x
3. Step 3: Cross multiply
   81,949.22x = 178,792.31 × 178,792.31
4. Step 4: Simplify right side
   81,949.22x = 31,966,691,009.10
5. Step 5: Solve for x
   x = 31,966,691,009.10/81,949.22
6. Step 6: Final answer
   x = 390,079.26