Finding the Third Proportional to 74,210 and 175,008

Step by Step Solution

1. Step 1: Write the proportion equation
   74,210 : 175,008 = 175,008 : x
2. Step 2: Convert to fraction form
   74,210/175,008 = 175,008/x
3. Step 3: Cross multiply
   74,210x = 175,008 × 175,008
4. Step 4: Simplify right side
   74,210x = 30,627,800,064
5. Step 5: Solve for x
   x = 30,627,800,064/74,210
6. Step 6: Final answer
   x = 412,717.96