Finding the Third Proportional to 175,901 and 414,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,901 : 414,823.50 = 414,823.50 : x
2. Step 2: Convert to fraction form
   175,901/414,823.50 = 414,823.50/x
3. Step 3: Cross multiply
   175,901x = 414,823.50 × 414,823.50
4. Step 4: Simplify right side
   175,901x = 172,078,536,152.25
5. Step 5: Solve for x
   x = 172,078,536,152.25/175,901
6. Step 6: Final answer
   x = 978,269.23