Finding the Third Proportional to 353,152 and 766,505

Step by Step Solution

1. Step 1: Write the proportion equation
   353,152 : 766,505 = 766,505 : x
2. Step 2: Convert to fraction form
   353,152/766,505 = 766,505/x
3. Step 3: Cross multiply
   353,152x = 766,505 × 766,505
4. Step 4: Simplify right side
   353,152x = 587,529,915,025
5. Step 5: Solve for x
   x = 587,529,915,025/353,152
6. Step 6: Final answer
   x = 1,663,674.32