Finding the Third Proportional to 246,078 and 385,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   246,078 : 385,033.50 = 385,033.50 : x
2. Step 2: Convert to fraction form
   246,078/385,033.50 = 385,033.50/x
3. Step 3: Cross multiply
   246,078x = 385,033.50 × 385,033.50
4. Step 4: Simplify right side
   246,078x = 148,250,796,122.25
5. Step 5: Solve for x
   x = 148,250,796,122.25/246,078
6. Step 6: Final answer
   x = 602,454.49