Finding the Third Proportional to 175,300 and 383,764

Step by Step Solution

1. Step 1: Write the proportion equation
   175,300 : 383,764 = 383,764 : x
2. Step 2: Convert to fraction form
   175,300/383,764 = 383,764/x
3. Step 3: Cross multiply
   175,300x = 383,764 × 383,764
4. Step 4: Simplify right side
   175,300x = 147,274,807,696
5. Step 5: Solve for x
   x = 147,274,807,696/175,300
6. Step 6: Final answer
   x = 840,130.11