Finding the Third Proportional to 272,323 and 419,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   272,323 : 419,968.50 = 419,968.50 : x
2. Step 2: Convert to fraction form
   272,323/419,968.50 = 419,968.50/x
3. Step 3: Cross multiply
   272,323x = 419,968.50 × 419,968.50
4. Step 4: Simplify right side
   272,323x = 176,373,540,992.25
5. Step 5: Solve for x
   x = 176,373,540,992.25/272,323
6. Step 6: Final answer
   x = 647,663.04