Finding the Third Proportional to 72,924 and 159,564

Step by Step Solution

1. Step 1: Write the proportion equation
   72,924 : 159,564 = 159,564 : x
2. Step 2: Convert to fraction form
   72,924/159,564 = 159,564/x
3. Step 3: Cross multiply
   72,924x = 159,564 × 159,564
4. Step 4: Simplify right side
   72,924x = 25,460,670,096
5. Step 5: Solve for x
   x = 25,460,670,096/72,924
6. Step 6: Final answer
   x = 349,139.79