Finding the Third Proportional to 155,513 and 333,766

Step by Step Solution

1. Step 1: Write the proportion equation
   155,513 : 333,766 = 333,766 : x
2. Step 2: Convert to fraction form
   155,513/333,766 = 333,766/x
3. Step 3: Cross multiply
   155,513x = 333,766 × 333,766
4. Step 4: Simplify right side
   155,513x = 111,399,742,756
5. Step 5: Solve for x
   x = 111,399,742,756/155,513
6. Step 6: Final answer
   x = 716,337.17