Finding the Third Proportional to 177,025.50 and 383,562

Step by Step Solution

1. Step 1: Write the proportion equation
   177,025.50 : 383,562 = 383,562 : x
2. Step 2: Convert to fraction form
   177,025.50/383,562 = 383,562/x
3. Step 3: Cross multiply
   177,025.50x = 383,562 × 383,562
4. Step 4: Simplify right side
   177,025.50x = 147,119,807,844
5. Step 5: Solve for x
   x = 147,119,807,844/177,025.50
6. Step 6: Final answer
   x = 831,065.63