Finding the Third Proportional to 349,632 and 766,656

Step by Step Solution

1. Step 1: Write the proportion equation
   349,632 : 766,656 = 766,656 : x
2. Step 2: Convert to fraction form
   349,632/766,656 = 766,656/x
3. Step 3: Cross multiply
   349,632x = 766,656 × 766,656
4. Step 4: Simplify right side
   349,632x = 587,761,422,336
5. Step 5: Solve for x
   x = 587,761,422,336/349,632
6. Step 6: Final answer
   x = 1,681,085.89