Finding the Third Proportional to 78,802 and 172,914

Step by Step Solution

1. Step 1: Write the proportion equation
   78,802 : 172,914 = 172,914 : x
2. Step 2: Convert to fraction form
   78,802/172,914 = 172,914/x
3. Step 3: Cross multiply
   78,802x = 172,914 × 172,914
4. Step 4: Simplify right side
   78,802x = 29,899,251,396
5. Step 5: Solve for x
   x = 29,899,251,396/78,802
6. Step 6: Final answer
   x = 379,422.49