Finding the Third Proportional to 245,593 and 380,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   245,593 : 380,377.50 = 380,377.50 : x
2. Step 2: Convert to fraction form
   245,593/380,377.50 = 380,377.50/x
3. Step 3: Cross multiply
   245,593x = 380,377.50 × 380,377.50
4. Step 4: Simplify right side
   245,593x = 144,687,042,506.25
5. Step 5: Solve for x
   x = 144,687,042,506.25/245,593
6. Step 6: Final answer
   x = 589,133.41