Finding the Third Proportional to 414,175.50 and 845,766

Step by Step Solution

1. Step 1: Write the proportion equation
   414,175.50 : 845,766 = 845,766 : x
2. Step 2: Convert to fraction form
   414,175.50/845,766 = 845,766/x
3. Step 3: Cross multiply
   414,175.50x = 845,766 × 845,766
4. Step 4: Simplify right side
   414,175.50x = 715,320,126,756
5. Step 5: Solve for x
   x = 715,320,126,756/414,175.50
6. Step 6: Final answer
   x = 1,727,094.26