Finding the Third Proportional to 81,906.50 and 178,966

Step by Step Solution

1. Step 1: Write the proportion equation
   81,906.50 : 178,966 = 178,966 : x
2. Step 2: Convert to fraction form
   81,906.50/178,966 = 178,966/x
3. Step 3: Cross multiply
   81,906.50x = 178,966 × 178,966
4. Step 4: Simplify right side
   81,906.50x = 32,028,829,156
5. Step 5: Solve for x
   x = 32,028,829,156/81,906.50
6. Step 6: Final answer
   x = 391,041.36