Finding the Third Proportional to 298,457 and 614,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   298,457 : 614,409.50 = 614,409.50 : x
2. Step 2: Convert to fraction form
   298,457/614,409.50 = 614,409.50/x
3. Step 3: Cross multiply
   298,457x = 614,409.50 × 614,409.50
4. Step 4: Simplify right side
   298,457x = 377,499,033,690.25
5. Step 5: Solve for x
   x = 377,499,033,690.25/298,457
6. Step 6: Final answer
   x = 1,264,835.58