Finding the Third Proportional to 78,744 and 174,822

Step by Step Solution

1. Step 1: Write the proportion equation
   78,744 : 174,822 = 174,822 : x
2. Step 2: Convert to fraction form
   78,744/174,822 = 174,822/x
3. Step 3: Cross multiply
   78,744x = 174,822 × 174,822
4. Step 4: Simplify right side
   78,744x = 30,562,731,684
5. Step 5: Solve for x
   x = 30,562,731,684/78,744
6. Step 6: Final answer
   x = 388,127.75