Finding the Third Proportional to 147.50 and 290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147.50 : 290.50 = 290.50 : x
2. Step 2: Convert to fraction form
   147.50/290.50 = 290.50/x
3. Step 3: Cross multiply
   147.50x = 290.50 × 290.50
4. Step 4: Simplify right side
   147.50x = 84,390.25
5. Step 5: Solve for x
   x = 84,390.25/147.50
6. Step 6: Final answer
   x = 572.14