Finding the Third Proportional to 190,291.50 and 414,486

Step by Step Solution

1. Step 1: Write the proportion equation
   190,291.50 : 414,486 = 414,486 : x
2. Step 2: Convert to fraction form
   190,291.50/414,486 = 414,486/x
3. Step 3: Cross multiply
   190,291.50x = 414,486 × 414,486
4. Step 4: Simplify right side
   190,291.50x = 171,798,644,196
5. Step 5: Solve for x
   x = 171,798,644,196/190,291.50
6. Step 6: Final answer
   x = 902,818.28