Finding the Third Proportional to 72,665 and 156,795

Step by Step Solution

1. Step 1: Write the proportion equation
   72,665 : 156,795 = 156,795 : x
2. Step 2: Convert to fraction form
   72,665/156,795 = 156,795/x
3. Step 3: Cross multiply
   72,665x = 156,795 × 156,795
4. Step 4: Simplify right side
   72,665x = 24,584,672,025
5. Step 5: Solve for x
   x = 24,584,672,025/72,665
6. Step 6: Final answer
   x = 338,328.93