Finding the Third Proportional to 72,409 and 151,436

Step by Step Solution

1. Step 1: Write the proportion equation
   72,409 : 151,436 = 151,436 : x
2. Step 2: Convert to fraction form
   72,409/151,436 = 151,436/x
3. Step 3: Cross multiply
   72,409x = 151,436 × 151,436
4. Step 4: Simplify right side
   72,409x = 22,932,862,096
5. Step 5: Solve for x
   x = 22,932,862,096/72,409
6. Step 6: Final answer
   x = 316,712.87