Finding the Third Proportional to 81,054 and 178,470

Step by Step Solution

1. Step 1: Write the proportion equation
   81,054 : 178,470 = 178,470 : x
2. Step 2: Convert to fraction form
   81,054/178,470 = 178,470/x
3. Step 3: Cross multiply
   81,054x = 178,470 × 178,470
4. Step 4: Simplify right side
   81,054x = 31,851,540,900
5. Step 5: Solve for x
   x = 31,851,540,900/81,054
6. Step 6: Final answer
   x = 392,966.92