Finding the Third Proportional to 327,537 and 497,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,537 : 497,218.50 = 497,218.50 : x
2. Step 2: Convert to fraction form
   327,537/497,218.50 = 497,218.50/x
3. Step 3: Cross multiply
   327,537x = 497,218.50 × 497,218.50
4. Step 4: Simplify right side
   327,537x = 247,226,236,742.25
5. Step 5: Solve for x
   x = 247,226,236,742.25/327,537
6. Step 6: Final answer
   x = 754,804.00