Finding the Third Proportional to 72,634 and 155,636

Step by Step Solution

1. Step 1: Write the proportion equation
   72,634 : 155,636 = 155,636 : x
2. Step 2: Convert to fraction form
   72,634/155,636 = 155,636/x
3. Step 3: Cross multiply
   72,634x = 155,636 × 155,636
4. Step 4: Simplify right side
   72,634x = 24,222,564,496
5. Step 5: Solve for x
   x = 24,222,564,496/72,634
6. Step 6: Final answer
   x = 333,487.96