Finding the Third Proportional to 72,520 and 158,324

Step by Step Solution

1. Step 1: Write the proportion equation
   72,520 : 158,324 = 158,324 : x
2. Step 2: Convert to fraction form
   72,520/158,324 = 158,324/x
3. Step 3: Cross multiply
   72,520x = 158,324 × 158,324
4. Step 4: Simplify right side
   72,520x = 25,066,488,976
5. Step 5: Solve for x
   x = 25,066,488,976/72,520
6. Step 6: Final answer
   x = 345,649.32