Finding the Third Proportional to 382,050 and 414,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,050 : 414,814.50 = 414,814.50 : x
2. Step 2: Convert to fraction form
   382,050/414,814.50 = 414,814.50/x
3. Step 3: Cross multiply
   382,050x = 414,814.50 × 414,814.50
4. Step 4: Simplify right side
   382,050x = 172,071,069,410.25
5. Step 5: Solve for x
   x = 172,071,069,410.25/382,050
6. Step 6: Final answer
   x = 450,388.87