Finding the Third Proportional to 250,985.25 and 382,359

Step by Step Solution

1. Step 1: Write the proportion equation
   250,985.25 : 382,359 = 382,359 : x
2. Step 2: Convert to fraction form
   250,985.25/382,359 = 382,359/x
3. Step 3: Cross multiply
   250,985.25x = 382,359 × 382,359
4. Step 4: Simplify right side
   250,985.25x = 146,198,404,881
5. Step 5: Solve for x
   x = 146,198,404,881/250,985.25
6. Step 6: Final answer
   x = 582,497.99