Finding the Third Proportional to 277.50 and 362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277.50 : 362.50 = 362.50 : x
2. Step 2: Convert to fraction form
   277.50/362.50 = 362.50/x
3. Step 3: Cross multiply
   277.50x = 362.50 × 362.50
4. Step 4: Simplify right side
   277.50x = 131,406.25
5. Step 5: Solve for x
   x = 131,406.25/277.50
6. Step 6: Final answer
   x = 473.54