Finding the Third Proportional to 327,165 and 479,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,165 : 479,947.50 = 479,947.50 : x
2. Step 2: Convert to fraction form
   327,165/479,947.50 = 479,947.50/x
3. Step 3: Cross multiply
   327,165x = 479,947.50 × 479,947.50
4. Step 4: Simplify right side
   327,165x = 230,349,602,756.25
5. Step 5: Solve for x
   x = 230,349,602,756.25/327,165
6. Step 6: Final answer
   x = 704,077.77