Finding the Third Proportional to 152,964 and 333,144

Step by Step Solution

1. Step 1: Write the proportion equation
   152,964 : 333,144 = 333,144 : x
2. Step 2: Convert to fraction form
   152,964/333,144 = 333,144/x
3. Step 3: Cross multiply
   152,964x = 333,144 × 333,144
4. Step 4: Simplify right side
   152,964x = 110,984,924,736
5. Step 5: Solve for x
   x = 110,984,924,736/152,964
6. Step 6: Final answer
   x = 725,562.39