Finding the Third Proportional to 177,019.50 and 383,577

Step by Step Solution

1. Step 1: Write the proportion equation
   177,019.50 : 383,577 = 383,577 : x
2. Step 2: Convert to fraction form
   177,019.50/383,577 = 383,577/x
3. Step 3: Cross multiply
   177,019.50x = 383,577 × 383,577
4. Step 4: Simplify right side
   177,019.50x = 147,131,314,929
5. Step 5: Solve for x
   x = 147,131,314,929/177,019.50
6. Step 6: Final answer
   x = 831,158.80