Finding the Third Proportional to 327,522 and 497,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,522 : 497,191.50 = 497,191.50 : x
2. Step 2: Convert to fraction form
   327,522/497,191.50 = 497,191.50/x
3. Step 3: Cross multiply
   327,522x = 497,191.50 × 497,191.50
4. Step 4: Simplify right side
   327,522x = 247,199,387,672.25
5. Step 5: Solve for x
   x = 247,199,387,672.25/327,522
6. Step 6: Final answer
   x = 754,756.59