Finding the Third Proportional to 271,616.50 and 429,997

Step by Step Solution

1. Step 1: Write the proportion equation
   271,616.50 : 429,997 = 429,997 : x
2. Step 2: Convert to fraction form
   271,616.50/429,997 = 429,997/x
3. Step 3: Cross multiply
   271,616.50x = 429,997 × 429,997
4. Step 4: Simplify right side
   271,616.50x = 184,897,420,009
5. Step 5: Solve for x
   x = 184,897,420,009/271,616.50
6. Step 6: Final answer
   x = 680,729.71