Finding the Third Proportional to 414,641 and 635,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,641 : 635,065.50 = 635,065.50 : x
2. Step 2: Convert to fraction form
   414,641/635,065.50 = 635,065.50/x
3. Step 3: Cross multiply
   414,641x = 635,065.50 × 635,065.50
4. Step 4: Simplify right side
   414,641x = 403,308,189,290.25
5. Step 5: Solve for x
   x = 403,308,189,290.25/414,641
6. Step 6: Final answer
   x = 972,668.38