Finding the Third Proportional to 152,871 and 333,507

Step by Step Solution

1. Step 1: Write the proportion equation
   152,871 : 333,507 = 333,507 : x
2. Step 2: Convert to fraction form
   152,871/333,507 = 333,507/x
3. Step 3: Cross multiply
   152,871x = 333,507 × 333,507
4. Step 4: Simplify right side
   152,871x = 111,226,919,049
5. Step 5: Solve for x
   x = 111,226,919,049/152,871
6. Step 6: Final answer
   x = 727,586.78