Finding the Third Proportional to 72,662 and 155,678

Step by Step Solution

1. Step 1: Write the proportion equation
   72,662 : 155,678 = 155,678 : x
2. Step 2: Convert to fraction form
   72,662/155,678 = 155,678/x
3. Step 3: Cross multiply
   72,662x = 155,678 × 155,678
4. Step 4: Simplify right side
   72,662x = 24,235,639,684
5. Step 5: Solve for x
   x = 24,235,639,684/72,662
6. Step 6: Final answer
   x = 333,539.40