Finding the Third Proportional to 78,996 and 175,488

Step by Step Solution

1. Step 1: Write the proportion equation
   78,996 : 175,488 = 175,488 : x
2. Step 2: Convert to fraction form
   78,996/175,488 = 175,488/x
3. Step 3: Cross multiply
   78,996x = 175,488 × 175,488
4. Step 4: Simplify right side
   78,996x = 30,796,038,144
5. Step 5: Solve for x
   x = 30,796,038,144/78,996
6. Step 6: Final answer
   x = 389,843.01