Finding the Third Proportional to 175,901.50 and 414,825

Step by Step Solution

1. Step 1: Write the proportion equation
   175,901.50 : 414,825 = 414,825 : x
2. Step 2: Convert to fraction form
   175,901.50/414,825 = 414,825/x
3. Step 3: Cross multiply
   175,901.50x = 414,825 × 414,825
4. Step 4: Simplify right side
   175,901.50x = 172,079,780,625
5. Step 5: Solve for x
   x = 172,079,780,625/175,901.50
6. Step 6: Final answer
   x = 978,273.53