Finding the Third Proportional to 74,144.25 and 174,949.88

Step by Step Solution

1. Step 1: Write the proportion equation
   74,144.25 : 174,949.88 = 174,949.88 : x
2. Step 2: Convert to fraction form
   74,144.25/174,949.88 = 174,949.88/x
3. Step 3: Cross multiply
   74,144.25x = 174,949.88 × 174,949.88
4. Step 4: Simplify right side
   74,144.25x = 30,607,458,762.52
5. Step 5: Solve for x
   x = 30,607,458,762.52/74,144.25
6. Step 6: Final answer
   x = 412,809.61