Finding the Third Proportional to 271.86 and 437.89

Step by Step Solution

1. Step 1: Write the proportion equation
   271.86 : 437.89 = 437.89 : x
2. Step 2: Convert to fraction form
   271.86/437.89 = 437.89/x
3. Step 3: Cross multiply
   271.86x = 437.89 × 437.89
4. Step 4: Simplify right side
   271.86x = 191,748.20
5. Step 5: Solve for x
   x = 191,748.20/271.86
6. Step 6: Final answer
   x = 705.32