Finding the Third Proportional to 382,860 and 563,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,860 : 563,233.50 = 563,233.50 : x
2. Step 2: Convert to fraction form
   382,860/563,233.50 = 563,233.50/x
3. Step 3: Cross multiply
   382,860x = 563,233.50 × 563,233.50
4. Step 4: Simplify right side
   382,860x = 317,231,975,522.25
5. Step 5: Solve for x
   x = 317,231,975,522.25/382,860
6. Step 6: Final answer
   x = 828,584.80