Finding the Third Proportional to 349,308 and 525,996

Step by Step Solution

1. Step 1: Write the proportion equation
   349,308 : 525,996 = 525,996 : x
2. Step 2: Convert to fraction form
   349,308/525,996 = 525,996/x
3. Step 3: Cross multiply
   349,308x = 525,996 × 525,996
4. Step 4: Simplify right side
   349,308x = 276,671,792,016
5. Step 5: Solve for x
   x = 276,671,792,016/349,308
6. Step 6: Final answer
   x = 792,056.84