Finding the Third Proportional to 167.50 and 297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   167.50 : 297.50 = 297.50 : x
2. Step 2: Convert to fraction form
   167.50/297.50 = 297.50/x
3. Step 3: Cross multiply
   167.50x = 297.50 × 297.50
4. Step 4: Simplify right side
   167.50x = 88,506.25
5. Step 5: Solve for x
   x = 88,506.25/167.50
6. Step 6: Final answer
   x = 528.40