Finding the Third Proportional to 83,664 and 175,940

Step by Step Solution

1. Step 1: Write the proportion equation
   83,664 : 175,940 = 175,940 : x
2. Step 2: Convert to fraction form
   83,664/175,940 = 175,940/x
3. Step 3: Cross multiply
   83,664x = 175,940 × 175,940
4. Step 4: Simplify right side
   83,664x = 30,954,883,600
5. Step 5: Solve for x
   x = 30,954,883,600/83,664
6. Step 6: Final answer
   x = 369,990.48