Finding the Third Proportional to 72,656 and 155,680

Step by Step Solution

1. Step 1: Write the proportion equation
   72,656 : 155,680 = 155,680 : x
2. Step 2: Convert to fraction form
   72,656/155,680 = 155,680/x
3. Step 3: Cross multiply
   72,656x = 155,680 × 155,680
4. Step 4: Simplify right side
   72,656x = 24,236,262,400
5. Step 5: Solve for x
   x = 24,236,262,400/72,656
6. Step 6: Final answer
   x = 333,575.51