Finding the Third Proportional to 81,652 and 178,280

Step by Step Solution

1. Step 1: Write the proportion equation
   81,652 : 178,280 = 178,280 : x
2. Step 2: Convert to fraction form
   81,652/178,280 = 178,280/x
3. Step 3: Cross multiply
   81,652x = 178,280 × 178,280
4. Step 4: Simplify right side
   81,652x = 31,783,758,400
5. Step 5: Solve for x
   x = 31,783,758,400/81,652
6. Step 6: Final answer
   x = 389,258.79