Finding the Third Proportional to 78,964.88 and 174,538.13

Step by Step Solution

1. Step 1: Write the proportion equation
   78,964.88 : 174,538.13 = 174,538.13 : x
2. Step 2: Convert to fraction form
   78,964.88/174,538.13 = 174,538.13/x
3. Step 3: Cross multiply
   78,964.88x = 174,538.13 × 174,538.13
4. Step 4: Simplify right side
   78,964.88x = 30,463,557,078.52
5. Step 5: Solve for x
   x = 30,463,557,078.52/78,964.88
6. Step 6: Final answer
   x = 385,786.17