Finding the Third Proportional to 327,975 and 492,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,975 : 492,973.50 = 492,973.50 : x
2. Step 2: Convert to fraction form
   327,975/492,973.50 = 492,973.50/x
3. Step 3: Cross multiply
   327,975x = 492,973.50 × 492,973.50
4. Step 4: Simplify right side
   327,975x = 243,022,871,702.25
5. Step 5: Solve for x
   x = 243,022,871,702.25/327,975
6. Step 6: Final answer
   x = 740,979.87