Finding the Third Proportional to 72,636 and 156,740

Step by Step Solution

1. Step 1: Write the proportion equation
   72,636 : 156,740 = 156,740 : x
2. Step 2: Convert to fraction form
   72,636/156,740 = 156,740/x
3. Step 3: Cross multiply
   72,636x = 156,740 × 156,740
4. Step 4: Simplify right side
   72,636x = 24,567,427,600
5. Step 5: Solve for x
   x = 24,567,427,600/72,636
6. Step 6: Final answer
   x = 338,226.60