Finding the Third Proportional to 72,740 and 156,952

Step by Step Solution

1. Step 1: Write the proportion equation
   72,740 : 156,952 = 156,952 : x
2. Step 2: Convert to fraction form
   72,740/156,952 = 156,952/x
3. Step 3: Cross multiply
   72,740x = 156,952 × 156,952
4. Step 4: Simplify right side
   72,740x = 24,633,930,304
5. Step 5: Solve for x
   x = 24,633,930,304/72,740
6. Step 6: Final answer
   x = 338,657.28