Finding the Third Proportional to 250,989 and 382,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   250,989 : 382,363.50 = 382,363.50 : x
2. Step 2: Convert to fraction form
   250,989/382,363.50 = 382,363.50/x
3. Step 3: Cross multiply
   250,989x = 382,363.50 × 382,363.50
4. Step 4: Simplify right side
   250,989x = 146,201,846,132.25
5. Step 5: Solve for x
   x = 146,201,846,132.25/250,989
6. Step 6: Final answer
   x = 582,503.00