Finding the Third Proportional to 327,645 and 492,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,645 : 492,547.50 = 492,547.50 : x
2. Step 2: Convert to fraction form
   327,645/492,547.50 = 492,547.50/x
3. Step 3: Cross multiply
   327,645x = 492,547.50 × 492,547.50
4. Step 4: Simplify right side
   327,645x = 242,603,039,756.25
5. Step 5: Solve for x
   x = 242,603,039,756.25/327,645
6. Step 6: Final answer
   x = 740,444.81