Finding the Third Proportional to 72,964 and 159,766

Step by Step Solution

1. Step 1: Write the proportion equation
   72,964 : 159,766 = 159,766 : x
2. Step 2: Convert to fraction form
   72,964/159,766 = 159,766/x
3. Step 3: Cross multiply
   72,964x = 159,766 × 159,766
4. Step 4: Simplify right side
   72,964x = 25,525,174,756
5. Step 5: Solve for x
   x = 25,525,174,756/72,964
6. Step 6: Final answer
   x = 349,832.45