Finding the Third Proportional to 327,520 and 497,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,520 : 497,188.50 = 497,188.50 : x
2. Step 2: Convert to fraction form
   327,520/497,188.50 = 497,188.50/x
3. Step 3: Cross multiply
   327,520x = 497,188.50 × 497,188.50
4. Step 4: Simplify right side
   327,520x = 247,196,404,532.25
5. Step 5: Solve for x
   x = 247,196,404,532.25/327,520
6. Step 6: Final answer
   x = 754,752.09