Finding the Third Proportional to 72,538 and 151,636

Step by Step Solution

1. Step 1: Write the proportion equation
   72,538 : 151,636 = 151,636 : x
2. Step 2: Convert to fraction form
   72,538/151,636 = 151,636/x
3. Step 3: Cross multiply
   72,538x = 151,636 × 151,636
4. Step 4: Simplify right side
   72,538x = 22,993,476,496
5. Step 5: Solve for x
   x = 22,993,476,496/72,538
6. Step 6: Final answer
   x = 316,985.26