Finding the Third Proportional to 78,642 and 171,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,642 : 171,107.50 = 171,107.50 : x
2. Step 2: Convert to fraction form
   78,642/171,107.50 = 171,107.50/x
3. Step 3: Cross multiply
   78,642x = 171,107.50 × 171,107.50
4. Step 4: Simplify right side
   78,642x = 29,277,776,556.25
5. Step 5: Solve for x
   x = 29,277,776,556.25/78,642
6. Step 6: Final answer
   x = 372,291.86