Finding the Third Proportional to 331,856.50 and 514,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   331,856.50 : 514,714.50 = 514,714.50 : x
2. Step 2: Convert to fraction form
   331,856.50/514,714.50 = 514,714.50/x
3. Step 3: Cross multiply
   331,856.50x = 514,714.50 × 514,714.50
4. Step 4: Simplify right side
   331,856.50x = 264,931,016,510.25
5. Step 5: Solve for x
   x = 264,931,016,510.25/331,856.50
6. Step 6: Final answer
   x = 798,330.05