Finding the Third Proportional to 298,641 and 462,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   298,641 : 462,406.50 = 462,406.50 : x
2. Step 2: Convert to fraction form
   298,641/462,406.50 = 462,406.50/x
3. Step 3: Cross multiply
   298,641x = 462,406.50 × 462,406.50
4. Step 4: Simplify right side
   298,641x = 213,819,771,242.25
5. Step 5: Solve for x
   x = 213,819,771,242.25/298,641
6. Step 6: Final answer
   x = 715,975.94