Finding the Third Proportional to 79,460 and 174,094

Step by Step Solution

1. Step 1: Write the proportion equation
   79,460 : 174,094 = 174,094 : x
2. Step 2: Convert to fraction form
   79,460/174,094 = 174,094/x
3. Step 3: Cross multiply
   79,460x = 174,094 × 174,094
4. Step 4: Simplify right side
   79,460x = 30,308,720,836
5. Step 5: Solve for x
   x = 30,308,720,836/79,460
6. Step 6: Final answer
   x = 381,433.69