Finding the Third Proportional to 72,627 and 159,510

Step by Step Solution

1. Step 1: Write the proportion equation
   72,627 : 159,510 = 159,510 : x
2. Step 2: Convert to fraction form
   72,627/159,510 = 159,510/x
3. Step 3: Cross multiply
   72,627x = 159,510 × 159,510
4. Step 4: Simplify right side
   72,627x = 25,443,440,100
5. Step 5: Solve for x
   x = 25,443,440,100/72,627
6. Step 6: Final answer
   x = 350,330.32