Finding the Third Proportional to 353,282 and 765,280

Step by Step Solution

1. Step 1: Write the proportion equation
   353,282 : 765,280 = 765,280 : x
2. Step 2: Convert to fraction form
   353,282/765,280 = 765,280/x
3. Step 3: Cross multiply
   353,282x = 765,280 × 765,280
4. Step 4: Simplify right side
   353,282x = 585,653,478,400
5. Step 5: Solve for x
   x = 585,653,478,400/353,282
6. Step 6: Final answer
   x = 1,657,750.69