Finding the Third Proportional to 72,380 and 157,936

Step by Step Solution

1. Step 1: Write the proportion equation
   72,380 : 157,936 = 157,936 : x
2. Step 2: Convert to fraction form
   72,380/157,936 = 157,936/x
3. Step 3: Cross multiply
   72,380x = 157,936 × 157,936
4. Step 4: Simplify right side
   72,380x = 24,943,780,096
5. Step 5: Solve for x
   x = 24,943,780,096/72,380
6. Step 6: Final answer
   x = 344,622.55