Finding the Third Proportional to 72,997 and 156,905

Step by Step Solution

1. Step 1: Write the proportion equation
   72,997 : 156,905 = 156,905 : x
2. Step 2: Convert to fraction form
   72,997/156,905 = 156,905/x
3. Step 3: Cross multiply
   72,997x = 156,905 × 156,905
4. Step 4: Simplify right side
   72,997x = 24,619,179,025
5. Step 5: Solve for x
   x = 24,619,179,025/72,997
6. Step 6: Final answer
   x = 337,262.89