Finding the Third Proportional to 153,353 and 333,706

Step by Step Solution

1. Step 1: Write the proportion equation
   153,353 : 333,706 = 333,706 : x
2. Step 2: Convert to fraction form
   153,353/333,706 = 333,706/x
3. Step 3: Cross multiply
   153,353x = 333,706 × 333,706
4. Step 4: Simplify right side
   153,353x = 111,359,694,436
5. Step 5: Solve for x
   x = 111,359,694,436/153,353
6. Step 6: Final answer
   x = 726,165.74