Finding the Third Proportional to 79,895 and 174,091

Step by Step Solution

1. Step 1: Write the proportion equation
   79,895 : 174,091 = 174,091 : x
2. Step 2: Convert to fraction form
   79,895/174,091 = 174,091/x
3. Step 3: Cross multiply
   79,895x = 174,091 × 174,091
4. Step 4: Simplify right side
   79,895x = 30,307,676,281
5. Step 5: Solve for x
   x = 30,307,676,281/79,895
6. Step 6: Final answer
   x = 379,343.84