Finding the Third Proportional to 72,009 and 155,506

Step by Step Solution

1. Step 1: Write the proportion equation
   72,009 : 155,506 = 155,506 : x
2. Step 2: Convert to fraction form
   72,009/155,506 = 155,506/x
3. Step 3: Cross multiply
   72,009x = 155,506 × 155,506
4. Step 4: Simplify right side
   72,009x = 24,182,116,036
5. Step 5: Solve for x
   x = 24,182,116,036/72,009
6. Step 6: Final answer
   x = 335,820.75