Finding the Third Proportional to 325,663 and 464,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   325,663 : 464,842.50 = 464,842.50 : x
2. Step 2: Convert to fraction form
   325,663/464,842.50 = 464,842.50/x
3. Step 3: Cross multiply
   325,663x = 464,842.50 × 464,842.50
4. Step 4: Simplify right side
   325,663x = 216,078,549,806.25
5. Step 5: Solve for x
   x = 216,078,549,806.25/325,663
6. Step 6: Final answer
   x = 663,503.53