Finding the Third Proportional to 78,403 and 171,819

Step by Step Solution

1. Step 1: Write the proportion equation
   78,403 : 171,819 = 171,819 : x
2. Step 2: Convert to fraction form
   78,403/171,819 = 171,819/x
3. Step 3: Cross multiply
   78,403x = 171,819 × 171,819
4. Step 4: Simplify right side
   78,403x = 29,521,768,761
5. Step 5: Solve for x
   x = 29,521,768,761/78,403
6. Step 6: Final answer
   x = 376,538.76