Finding the Third Proportional to 414,646 and 635,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,646 : 635,074.50 = 635,074.50 : x
2. Step 2: Convert to fraction form
   414,646/635,074.50 = 635,074.50/x
3. Step 3: Cross multiply
   414,646x = 635,074.50 × 635,074.50
4. Step 4: Simplify right side
   414,646x = 403,319,620,550.25
5. Step 5: Solve for x
   x = 403,319,620,550.25/414,646
6. Step 6: Final answer
   x = 972,684.22