Finding the Third Proportional to 72,585 and 159,507

Step by Step Solution

1. Step 1: Write the proportion equation
   72,585 : 159,507 = 159,507 : x
2. Step 2: Convert to fraction form
   72,585/159,507 = 159,507/x
3. Step 3: Cross multiply
   72,585x = 159,507 × 159,507
4. Step 4: Simplify right side
   72,585x = 25,442,483,049
5. Step 5: Solve for x
   x = 25,442,483,049/72,585
6. Step 6: Final answer
   x = 350,519.85