Finding the Third Proportional to 72,524 and 153,760

Step by Step Solution

1. Step 1: Write the proportion equation
   72,524 : 153,760 = 153,760 : x
2. Step 2: Convert to fraction form
   72,524/153,760 = 153,760/x
3. Step 3: Cross multiply
   72,524x = 153,760 × 153,760
4. Step 4: Simplify right side
   72,524x = 23,642,137,600
5. Step 5: Solve for x
   x = 23,642,137,600/72,524
6. Step 6: Final answer
   x = 325,990.54