Finding the Third Proportional to 214.50 and 433.38

Step by Step Solution

1. Step 1: Write the proportion equation
   214.50 : 433.38 = 433.38 : x
2. Step 2: Convert to fraction form
   214.50/433.38 = 433.38/x
3. Step 3: Cross multiply
   214.50x = 433.38 × 433.38
4. Step 4: Simplify right side
   214.50x = 187,813.89
5. Step 5: Solve for x
   x = 187,813.89/214.50
6. Step 6: Final answer
   x = 875.59