Finding the Third Proportional to 81,769.50 and 164,754

Step by Step Solution

1. Step 1: Write the proportion equation
   81,769.50 : 164,754 = 164,754 : x
2. Step 2: Convert to fraction form
   81,769.50/164,754 = 164,754/x
3. Step 3: Cross multiply
   81,769.50x = 164,754 × 164,754
4. Step 4: Simplify right side
   81,769.50x = 27,143,880,516
5. Step 5: Solve for x
   x = 27,143,880,516/81,769.50
6. Step 6: Final answer
   x = 331,956.05