Finding the Third Proportional to 78,396 and 170,892

Step by Step Solution

1. Step 1: Write the proportion equation
   78,396 : 170,892 = 170,892 : x
2. Step 2: Convert to fraction form
   78,396/170,892 = 170,892/x
3. Step 3: Cross multiply
   78,396x = 170,892 × 170,892
4. Step 4: Simplify right side
   78,396x = 29,204,075,664
5. Step 5: Solve for x
   x = 29,204,075,664/78,396
6. Step 6: Final answer
   x = 372,519.97