Finding the Third Proportional to 79,426 and 174,646

Step by Step Solution

1. Step 1: Write the proportion equation
   79,426 : 174,646 = 174,646 : x
2. Step 2: Convert to fraction form
   79,426/174,646 = 174,646/x
3. Step 3: Cross multiply
   79,426x = 174,646 × 174,646
4. Step 4: Simplify right side
   79,426x = 30,501,225,316
5. Step 5: Solve for x
   x = 30,501,225,316/79,426
6. Step 6: Final answer
   x = 384,020.66