Finding the Third Proportional to 320,964 and 496,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,964 : 496,714.50 = 496,714.50 : x
2. Step 2: Convert to fraction form
   320,964/496,714.50 = 496,714.50/x
3. Step 3: Cross multiply
   320,964x = 496,714.50 × 496,714.50
4. Step 4: Simplify right side
   320,964x = 246,725,294,510.25
5. Step 5: Solve for x
   x = 246,725,294,510.25/320,964
6. Step 6: Final answer
   x = 768,700.83