Finding the Third Proportional to 72,272 and 156,768

Step by Step Solution

1. Step 1: Write the proportion equation
   72,272 : 156,768 = 156,768 : x
2. Step 2: Convert to fraction form
   72,272/156,768 = 156,768/x
3. Step 3: Cross multiply
   72,272x = 156,768 × 156,768
4. Step 4: Simplify right side
   72,272x = 24,576,205,824
5. Step 5: Solve for x
   x = 24,576,205,824/72,272
6. Step 6: Final answer
   x = 340,051.55