Finding the Third Proportional to 327,528 and 497,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,528 : 497,200.50 = 497,200.50 : x
2. Step 2: Convert to fraction form
   327,528/497,200.50 = 497,200.50/x
3. Step 3: Cross multiply
   327,528x = 497,200.50 × 497,200.50
4. Step 4: Simplify right side
   327,528x = 247,208,337,200.25
5. Step 5: Solve for x
   x = 247,208,337,200.25/327,528
6. Step 6: Final answer
   x = 754,770.09