Finding the Third Proportional to 271,872 and 414,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,872 : 414,967.50 = 414,967.50 : x
2. Step 2: Convert to fraction form
   271,872/414,967.50 = 414,967.50/x
3. Step 3: Cross multiply
   271,872x = 414,967.50 × 414,967.50
4. Step 4: Simplify right side
   271,872x = 172,198,026,056.25
5. Step 5: Solve for x
   x = 172,198,026,056.25/271,872
6. Step 6: Final answer
   x = 633,379.04