Finding the Third Proportional to 325,488 and 492,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   325,488 : 492,823.50 = 492,823.50 : x
2. Step 2: Convert to fraction form
   325,488/492,823.50 = 492,823.50/x
3. Step 3: Cross multiply
   325,488x = 492,823.50 × 492,823.50
4. Step 4: Simplify right side
   325,488x = 242,875,002,152.25
5. Step 5: Solve for x
   x = 242,875,002,152.25/325,488
6. Step 6: Final answer
   x = 746,187.27