Finding the Third Proportional to 78,624 and 174,816

Step by Step Solution

1. Step 1: Write the proportion equation
   78,624 : 174,816 = 174,816 : x
2. Step 2: Convert to fraction form
   78,624/174,816 = 174,816/x
3. Step 3: Cross multiply
   78,624x = 174,816 × 174,816
4. Step 4: Simplify right side
   78,624x = 30,560,633,856
5. Step 5: Solve for x
   x = 30,560,633,856/78,624
6. Step 6: Final answer
   x = 388,693.45