Finding the Third Proportional to 298,651 and 462,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   298,651 : 462,421.50 = 462,421.50 : x
2. Step 2: Convert to fraction form
   298,651/462,421.50 = 462,421.50/x
3. Step 3: Cross multiply
   298,651x = 462,421.50 × 462,421.50
4. Step 4: Simplify right side
   298,651x = 213,833,643,662.25
5. Step 5: Solve for x
   x = 213,833,643,662.25/298,651
6. Step 6: Final answer
   x = 715,998.42