Finding the Third Proportional to 182,478 and 290,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,478 : 290,578.50 = 290,578.50 : x
2. Step 2: Convert to fraction form
   182,478/290,578.50 = 290,578.50/x
3. Step 3: Cross multiply
   182,478x = 290,578.50 × 290,578.50
4. Step 4: Simplify right side
   182,478x = 84,435,864,662.25
5. Step 5: Solve for x
   x = 84,435,864,662.25/182,478
6. Step 6: Final answer
   x = 462,718.05