Finding the Third Proportional to 433,580 and 681,054

Step by Step Solution

1. Step 1: Write the proportion equation
   433,580 : 681,054 = 681,054 : x
2. Step 2: Convert to fraction form
   433,580/681,054 = 681,054/x
3. Step 3: Cross multiply
   433,580x = 681,054 × 681,054
4. Step 4: Simplify right side
   433,580x = 463,834,550,916
5. Step 5: Solve for x
   x = 463,834,550,916/433,580
6. Step 6: Final answer
   x = 1,069,778.47