Finding the Third Proportional to 214.31 and 340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214.31 : 340.50 = 340.50 : x
2. Step 2: Convert to fraction form
   214.31/340.50 = 340.50/x
3. Step 3: Cross multiply
   214.31x = 340.50 × 340.50
4. Step 4: Simplify right side
   214.31x = 115,940.25
5. Step 5: Solve for x
   x = 115,940.25/214.31
6. Step 6: Final answer
   x = 540.99