Finding the Third Proportional to 222.50 and 342.75

Step by Step Solution

1. Step 1: Write the proportion equation
   222.50 : 342.75 = 342.75 : x
2. Step 2: Convert to fraction form
   222.50/342.75 = 342.75/x
3. Step 3: Cross multiply
   222.50x = 342.75 × 342.75
4. Step 4: Simplify right side
   222.50x = 117,477.56
5. Step 5: Solve for x
   x = 117,477.56/222.50
6. Step 6: Final answer
   x = 527.99