Finding the Third Proportional to 72,783 and 154,314

Step by Step Solution

1. Step 1: Write the proportion equation
   72,783 : 154,314 = 154,314 : x
2. Step 2: Convert to fraction form
   72,783/154,314 = 154,314/x
3. Step 3: Cross multiply
   72,783x = 154,314 × 154,314
4. Step 4: Simplify right side
   72,783x = 23,812,810,596
5. Step 5: Solve for x
   x = 23,812,810,596/72,783
6. Step 6: Final answer
   x = 327,175.45