Finding the Third Proportional to 175,513.50 and 414,177

Step by Step Solution

1. Step 1: Write the proportion equation
   175,513.50 : 414,177 = 414,177 : x
2. Step 2: Convert to fraction form
   175,513.50/414,177 = 414,177/x
3. Step 3: Cross multiply
   175,513.50x = 414,177 × 414,177
4. Step 4: Simplify right side
   175,513.50x = 171,542,587,329
5. Step 5: Solve for x
   x = 171,542,587,329/175,513.50
6. Step 6: Final answer
   x = 977,375.46