Finding the Third Proportional to 72,380 and 159,484

Step by Step Solution

1. Step 1: Write the proportion equation
   72,380 : 159,484 = 159,484 : x
2. Step 2: Convert to fraction form
   72,380/159,484 = 159,484/x
3. Step 3: Cross multiply
   72,380x = 159,484 × 159,484
4. Step 4: Simplify right side
   72,380x = 25,435,146,256
5. Step 5: Solve for x
   x = 25,435,146,256/72,380
6. Step 6: Final answer
   x = 351,411.25