Finding the Third Proportional to 72,776 and 159,898

Step by Step Solution

1. Step 1: Write the proportion equation
   72,776 : 159,898 = 159,898 : x
2. Step 2: Convert to fraction form
   72,776/159,898 = 159,898/x
3. Step 3: Cross multiply
   72,776x = 159,898 × 159,898
4. Step 4: Simplify right side
   72,776x = 25,567,370,404
5. Step 5: Solve for x
   x = 25,567,370,404/72,776
6. Step 6: Final answer
   x = 351,315.96