Finding the Third Proportional to 72,536 and 153,780

Step by Step Solution

1. Step 1: Write the proportion equation
   72,536 : 153,780 = 153,780 : x
2. Step 2: Convert to fraction form
   72,536/153,780 = 153,780/x
3. Step 3: Cross multiply
   72,536x = 153,780 × 153,780
4. Step 4: Simplify right side
   72,536x = 23,648,288,400
5. Step 5: Solve for x
   x = 23,648,288,400/72,536
6. Step 6: Final answer
   x = 326,021.40