Finding the Third Proportional to 353,164 and 766,532

Step by Step Solution

1. Step 1: Write the proportion equation
   353,164 : 766,532 = 766,532 : x
2. Step 2: Convert to fraction form
   353,164/766,532 = 766,532/x
3. Step 3: Cross multiply
   353,164x = 766,532 × 766,532
4. Step 4: Simplify right side
   353,164x = 587,571,307,024
5. Step 5: Solve for x
   x = 587,571,307,024/353,164
6. Step 6: Final answer
   x = 1,663,735.00