Finding the Third Proportional to 72,132 and 156,729

Step by Step Solution

1. Step 1: Write the proportion equation
   72,132 : 156,729 = 156,729 : x
2. Step 2: Convert to fraction form
   72,132/156,729 = 156,729/x
3. Step 3: Cross multiply
   72,132x = 156,729 × 156,729
4. Step 4: Simplify right side
   72,132x = 24,563,979,441
5. Step 5: Solve for x
   x = 24,563,979,441/72,132
6. Step 6: Final answer
   x = 340,542.05