Finding the Third Proportional to 152,547 and 225,705

Step by Step Solution

1. Step 1: Write the proportion equation
   152,547 : 225,705 = 225,705 : x
2. Step 2: Convert to fraction form
   152,547/225,705 = 225,705/x
3. Step 3: Cross multiply
   152,547x = 225,705 × 225,705
4. Step 4: Simplify right side
   152,547x = 50,942,747,025
5. Step 5: Solve for x
   x = 50,942,747,025/152,547
6. Step 6: Final answer
   x = 333,947.88