Finding the Third Proportional to 326,298 and 459,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   326,298 : 459,508.50 = 459,508.50 : x
2. Step 2: Convert to fraction form
   326,298/459,508.50 = 459,508.50/x
3. Step 3: Cross multiply
   326,298x = 459,508.50 × 459,508.50
4. Step 4: Simplify right side
   326,298x = 211,148,061,572.25
5. Step 5: Solve for x
   x = 211,148,061,572.25/326,298
6. Step 6: Final answer
   x = 647,101.92