Finding the Third Proportional to 79,897 and 174,095

Step by Step Solution

1. Step 1: Write the proportion equation
   79,897 : 174,095 = 174,095 : x
2. Step 2: Convert to fraction form
   79,897/174,095 = 174,095/x
3. Step 3: Cross multiply
   79,897x = 174,095 × 174,095
4. Step 4: Simplify right side
   79,897x = 30,309,069,025
5. Step 5: Solve for x
   x = 30,309,069,025/79,897
6. Step 6: Final answer
   x = 379,351.78