Finding the Third Proportional to 72,210 and 154,080

Step by Step Solution

1. Step 1: Write the proportion equation
   72,210 : 154,080 = 154,080 : x
2. Step 2: Convert to fraction form
   72,210/154,080 = 154,080/x
3. Step 3: Cross multiply
   72,210x = 154,080 × 154,080
4. Step 4: Simplify right side
   72,210x = 23,740,646,400
5. Step 5: Solve for x
   x = 23,740,646,400/72,210
6. Step 6: Final answer
   x = 328,772.28