Finding the Third Proportional to 277.50 and 373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277.50 : 373.50 = 373.50 : x
2. Step 2: Convert to fraction form
   277.50/373.50 = 373.50/x
3. Step 3: Cross multiply
   277.50x = 373.50 × 373.50
4. Step 4: Simplify right side
   277.50x = 139,502.25
5. Step 5: Solve for x
   x = 139,502.25/277.50
6. Step 6: Final answer
   x = 502.71