Finding the Third Proportional to 74,406 and 175,610

Step by Step Solution

1. Step 1: Write the proportion equation
   74,406 : 175,610 = 175,610 : x
2. Step 2: Convert to fraction form
   74,406/175,610 = 175,610/x
3. Step 3: Cross multiply
   74,406x = 175,610 × 175,610
4. Step 4: Simplify right side
   74,406x = 30,838,872,100
5. Step 5: Solve for x
   x = 30,838,872,100/74,406
6. Step 6: Final answer
   x = 414,467.54