Finding the Third Proportional to 175,933 and 414,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,933 : 414,904.50 = 414,904.50 : x
2. Step 2: Convert to fraction form
   175,933/414,904.50 = 414,904.50/x
3. Step 3: Cross multiply
   175,933x = 414,904.50 × 414,904.50
4. Step 4: Simplify right side
   175,933x = 172,145,744,120.25
5. Step 5: Solve for x
   x = 172,145,744,120.25/175,933
6. Step 6: Final answer
   x = 978,473.31