Finding the Third Proportional to 72,807 and 159,083

Step by Step Solution

1. Step 1: Write the proportion equation
   72,807 : 159,083 = 159,083 : x
2. Step 2: Convert to fraction form
   72,807/159,083 = 159,083/x
3. Step 3: Cross multiply
   72,807x = 159,083 × 159,083
4. Step 4: Simplify right side
   72,807x = 25,307,400,889
5. Step 5: Solve for x
   x = 25,307,400,889/72,807
6. Step 6: Final answer
   x = 347,595.71