Finding the Third Proportional to 74,084 and 174,809.25

Step by Step Solution

1. Step 1: Write the proportion equation
   74,084 : 174,809.25 = 174,809.25 : x
2. Step 2: Convert to fraction form
   74,084/174,809.25 = 174,809.25/x
3. Step 3: Cross multiply
   74,084x = 174,809.25 × 174,809.25
4. Step 4: Simplify right side
   74,084x = 30,558,273,885.56
5. Step 5: Solve for x
   x = 30,558,273,885.56/74,084
6. Step 6: Final answer
   x = 412,481.42